Charles Boen Math, Physics
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Greetings! I am thrilled to have the opportunity to introduce myself as a dedicated and passionate teacher. My name is Charles Boen, and I am excited to embark on a journey of knowledge and growth with you. With a strong background in education and a genuine love for teaching, I am confident in my ability to make a positive impact on your learning experience.

I hold a degree in Bachelors of Education from University of Kabianga, and I have 6 years of teaching experience in both math and Physics. Throughout my career, I have had the privilege of working with diverse groups of students, each with unique strengths, challenges, and learning styles. This has taught me the importance of adapting my teaching methods to suit the individual needs of my students, ensuring that every student has an equal opportunity to succeed.

My teaching philosophy centers around creating a stimulating and inclusive learning environment that fosters curiosity, critical thinking, and a lifelong love for learning. I believe in promoting active student participation by employing various instructional strategies, such as interactive discussions, hands-on activities, and multimedia resources. By engaging students in meaningful ways, I aim to ignite their curiosity and help them connect new knowledge with their prior understanding.

One of my key strengths lies in my ability to establish strong relationships with my students, built on trust, respect, and empathy. I firmly believe that when students feel valued and supported, they are more willing to take risks, ask questions, and actively engage in the learning process. I strive to create a safe space where students can freely express their thoughts and ideas, fostering an environment conducive to open dialogue and collaboration.

In addition to my teaching expertise, I am well-versed in integrating technology into the classroom to enhance learning outcomes. I am proficient in utilizing educational platforms, interactive whiteboards, and various software applications to create interactive and engaging lessons. I strongly believe that technology can be a powerful tool to promote creativity, critical thinking, and global awareness among students.

Beyond academics, I am committed to nurturing the holistic development of my students. I aim to instill values of integrity, empathy, and perseverance, encouraging them to become responsible and compassionate individuals. I actively involve myself in extracurricular activities, such as organizing educational trips, participating in community service projects, and mentoring students outside the classroom.

I am excited to embark on this educational journey with you, and I am confident that my passion for teaching, combined with my knowledge and experience, will enable me to create a stimulating and supportive learning environment. Whether you are seeking assistance with [Specific Subject/Topic] or looking for guidance in overall academic growth, I am here to help you reach your full potential.

Thank you for considering me as your teacher. I look forward to the opportunity of working with you and making a positive difference in your educational journey. Please feel free to reach out to me with any questions or to discuss your specific learning needs.

Subjects

  • Physics Beginner-Expert

  • Math Grade 8-Masters/Postgraduate

  • Mathematics Beginner-Expert

  • Aerodynamics Bachelors/Undergraduate

  • B Ed

  • Econometrics (Advanced) Grade 10-Bachelors/Undergraduate

  • ChatGPT Grade 11-Masters/Postgraduate

Experience

  • Tutor (Apr, 2018–Jun, 2019) at Midas International Boys High School
     Facilitating Physics and Mathematics
     Facilitating online assignments to the students
     Making of pedagogical plans
     Administering CREP (Creative Research Project)
     Monitoring and Evaluating of all instructions Process
     Continuously and demonstrably support the institution to achieve its academic and nonacademic goals
     Managing students behavior in the classroom and school premises
     Proposing, planning for and participating in extracurricular activities
  • Teacher (Jun, 2017–Jan, 2018) at Langalanga Secondary School
     Facilitating Physics and Mathematics
     Facilitating online assignments to the students
     Making of pedagogical plans
     Administering CREP (Creative Research Project)
     Monitoring and Evaluating of all instructions Process
     Continuously and demonstrably support the institution to achieve its academic and nonacademic goals
     Managing students behavior in the classroom and school premises
     Proposing, planning for and participating in extracurricular activities

Education

  • Bsc Education (Dec, 2013–Oct, 2017) from university of kabianga

Fee details

    KSh0.04–0.36/hour (US$0/hour)

    Depending on the urgency and level

Courses offered

  • Form One: Introduction to Mathematics

    • US$1100
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: 41 or more
    • Instruction language: English
    • Certificate provided: Yes
    This course serves as an introduction to foundational mathematical concepts. It covers topics such as number systems, basic algebraic expressions, geometry, and data representation. Students will develop problem-solving skills and gain a solid understanding of fundamental mathematical principles.
    Here's a breakdown of the topics covered in Form One mathematics, along with the number of lessons allocated to each:

    1.1.0 Natural Numbers (4 Lessons)
    2.0.0 Factors (4 Lessons)
    3.0.0 Divisibility Tests
    4.0.0 Greatest Common Divisor (GCD)/Highest Common Factor (4 Lessons)
    5.0.0 Least Common Multiple (L.C.M) (5 Lessons)
    6.0.0 Integers (12 Lessons)
    7.0.0 Fractions (12 Lessons)
    8.0.0 Decimals (12 Lessons)
    9.0.0 Squares and Square Roots (12 Lessons)
    10.0.0 Algebraic Expressions (14 Lessons)
    11.0.0 Rates, Ratio, Percentages, and Proportion (18 Lessons)
    12.0.0 Length (6 Lessons)
    13.0.0 Area (6 Lessons)
    14.0.0 Volume and Capacity (6 Lessons)
    15.0.0 Mass, Density, and Weight (4 Lessons)
    16.0.0 Time (4 Lessons)
    17.0.0 Linear Equations (12 Lessons)
    18.0.0 Commercial Arithmetic (6 Lessons)
    19.0.0 Coordinates and Graphs (14 Lessons)
    20.0.0 Angles and Plane Figures (6 Lessons)
    21.0.0 Geometric Constructions (18 Lessons)
    22.0.0 Scale Drawing (18 Lessons)
    23.0.0 Common Solids (18 Lessons)

    It's important to note that the number of lessons may vary depending on the school and curriculum. The duration of each lesson may also vary, typically ranging from 40 to 60 minutes.

  • Form Two: Intermediate Mathematics

    • US$1200
    • Duration: 3 Months
    • Delivery mode: Flexible as per the student
    • Group size: Individual
    • Instruction language: English, Swahili
    • Certificate provided: No
    Building upon the concepts learned in Form One, this course delves deeper into algebra, geometry, and trigonometry. Students will explore more complex equations, geometric theorems, and trigonometric ratios. They will also learn to solve various types of word problems, applying mathematical principles to real-world situations.

    Here are the topics for this class;
    24.0.0 Cubes and Cube Roots (4 Lessons)

    25.0.0 Reciprocals (7 Lessons)

    26.0.0 Indices and Logarithms (18 Lessons)

    27.0.0 Equations and Straight Lines (12 Lessons)

    28.0.0 Reflection and Congruence (12 Lessons)

    29.0.0 Rotation (12 Lessons)

    30.0.0 Similarity and Enlargement (19 Lessons)

    31.0.0 Pythagoras Theorem (4 Lessons)

    32.0.0 Trigonometry (19 Lessons)

    33.0.0 Area of a Triangle (7 Lessons)

    34.0.0 Area of Quadrilateral and other Polygons (4 Lessons)

    35.0.0 Area of Part of a Circle (9 Lessons)

    36.0.0 Surface Area of Solids (10 Lessons)

    37.0.0 Volume of Solids (12 Lessons)

    38.0.0 Quadrilateral Expressions and Equations (12 Lessons)

    39.0.0 Linear Inequalities (12 Lessons)

    40.0.0 Linear Motion(10 Lessons)

    41.0.0 Statistics (20 Lessons)

    42.0.0 Angle Properties of a Circle (19 Lessons)

    43.0.0 Vectors (20 Lessons)

  • Form Three: Advanced Mathematics

    • US$1300
    • Duration: 3 Months
    • Delivery mode: Flexible as per the student
    • Group size: Individual
    • Instruction language: English, Kiswahili
    • Certificate provided: No
    In this course, students engage in advanced topics of algebra, geometry, trigonometry, and calculus. They will study functions, logarithms, exponentials, coordinate geometry, and differentiation. The focus is on developing critical thinking and problem-solving skills, enabling students to tackle more challenging mathematical problems.

    Here is FORM 3 - KCSE MATHEMATICS SYLLABUS
    44.0.0 Quadratic Expressions (22 Lessons)
    45.0.0 Approximation and Errors (16 Lessons)
    46.0.0 Trigonometry (2)
    47.0.0 SURDS (9 Lessons)
    48.0.0 Further Logarithms (11 Lessons)
    49.0.0 Commercial Arithmetic (2) (22 Lessons)
    50.0.0 Circle Chords and tangents (21 Lessons)
    51.0.0 Matrices (21 Lessons)
    52.0.0 Formulae and Variations (21 Lessons)
    53.0.0 Sequences and Series (21 Lessons)
    54.0.0 Vectors (2) (24 Lessons)
    55.0.0 Binomial Expansions (11 Lessons)
    56.0.0 Probability (22 Lessons)
    57.0.0 Compound Proportions and Rates of Work (9 Lessons)
    58.0.0 Graphical Methods (21 Lessons)

  • Form Four: Applied Mathematics

    • US$1000
    • Duration: 3 Weeks
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English, Swahili
    • Certificate provided: No
    This course emphasizes the application of mathematical principles in practical contexts. Students will explore topics such as statistics, probability, financial mathematics, and linear programming. They will learn to analyze data, make informed decisions, and solve problems related to real-life scenarios. The course prepares students for further studies or careers that require mathematical skills.

    FORM IV- KCSE MATHEMATICS SYLLABUS
    59.0.0 Matrices and Transformations (21 Lessons)
    60.1.0 Statistics (2) (27 Lessons)
    61.0.0 Loci (21 Lessons)
    62.0.0 Trigonometry (21 Lessons)
    63.0.0 Three Dimensional Geometry (24 Lessons)
    64.0.0 Longitudes and Latitudes (21 Lessons)
    65.0.0 Linear Programming (21 Lessons)
    66.0.0 Differentiation (19 Lessons)
    67.0.0 Area Approximation (10 Lessons)
    68.0.0 Integration (19 Lessons)

  • Form One Physics

    • US$500
    • Duration: 3 Months
    • Delivery mode: Flexible as per the student
    • Group size: Individual
    • Instruction language: English, Kiswahili
    • Certificate provided: No
    Topics Covered:
    Introduction to Physics: Students are introduced to the subject of Physics and its significance in understanding the natural world.

    Measurements 1: Students learn about units of measurement, different measurement techniques, and the importance of accurate measurements in scientific investigations.

    Force: This topic explores the concept of force, including types of forces, their effects on objects, and calculations involving forces.

    Pressure: Students study pressure, including its definition, calculation, and applications in various contexts, such as fluids and solids.

    Particulate Nature of Matter: This topic focuses on the properties of matter at the particle level, including the arrangement and behavior of particles in solids, liquids, and gases.

    Thermal Expansion: Students learn about the expansion and contraction of materials due to changes in temperature and the practical applications of this phenomenon.

    Heat Transfer: This topic covers the transfer of heat energy through conduction, convection, and radiation, as well as the factors that affect heat transfer.

    Rectilinear Propagation of Light and Reflection at Plane Surface: Students explore the behavior of light, its rectilinear propagation, and reflection at flat surfaces.

    Electrostatics: This topic introduces students to static electricity, including the behavior of charged objects, electric fields, and basic electrical phenomena.

    Cells and Simple Circuits: Students study basic electrical circuits, including the components of a circuit, circuit symbols, and the principles of series and parallel connections.

  • Form Two Physics

    • US$600
    • Duration: 9 Weeks
    • Delivery mode: Flexible as per the student
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: Yes
    Topics Covered:
    11. Magnetism: Students explore magnetic fields, properties of magnets, and the interaction between magnets and magnetic materials.

    Measurements II: This topic builds upon the measurement skills acquired in Form One and covers more advanced measurement techniques and instruments.

    Turning Effect of Force: Students learn about moments, torque, and the conditions for rotational equilibrium of objects.

    Equilibrium Centre of Gravity: This topic focuses on the concept of center of gravity, stability, and equilibrium of objects.

    Reflection at Curved Surfaces: Students study the reflection of light at curved surfaces, including concave and convex mirrors.

    Magnetic Effect of Electric Current: This topic explores the magnetic field produced by electric currents, electromagnets, and applications of electromagnetic devices.

    Hooke's Law: Students learn about the behavior of springs and the relationship between force and extension according to Hooke's Law.

    Waves: This topic covers the properties and characteristics of waves, including types of waves, wave motion, and wave terminology.

    Sound: Students study the nature of sound, including its production, propagation, and the factors affecting the speed and intensity of sound waves.

    Fluid Flow: This topic focuses on the behavior of fluids in motion, including principles of pressure, flow rate, and applications of fluid dynamics.

  • Form Three Physics

    • US$700
    • Duration: 9 Months
    • Delivery mode: Flexible as per the student
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: Yes
    Topics Covered:
    21. Linear Motion: Students study the motion of objects in a straight line, including concepts such as speed, velocity, acceleration, and graphical representation of motion.

    Refraction of Light: This topic explores the bending of light when it passes from one medium to another, including the laws of refraction and practical applications.

    Newton's Laws of Motion: Students learn about Newton's three laws of motion and their applications in understanding the behavior of objects under different forces.

    Work, Energy, Power, and Machines: This topic covers the concepts of work, energy, power, and the efficiency of simple machines.

    Current Electricity: Students study electric current, electrical circuits, Ohm's Law, and calculations involving resistance, voltage, and current.

    Waves II: Building upon the previous wave topic, this section explores more advanced concepts in wave behavior, such as interference, diffraction, and polarization.

    Electrostatics II: This topic delves deeper into electrostatics, including the behavior of charged particles, electric fields, and electric potential.

    Heating Effect of Electric Current: Students learn about the heating effect of electric current, electrical power, and practical applications in electrical appliances.

    Quantity of Heat: This topic focuses on the measurement and calculation of heat energy, specific heat capacity, and changes of state.

    Gas Laws: Students study the behavior of gases and the relationship between pressure, volume, and temperature according to the gas laws.

  • Form Four Physics

    • US$700
    • Duration: 9 Months
    • Delivery mode: Flexible as per the student
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: Yes
    Topics Covered:
    31. Thin Lenses: Students explore the behavior of light as it passes through thin lenses, including convex and concave lenses and their applications.

    Uniform Circular Motion: This topic covers the principles and calculations related to objects moving in uniform circular motion.

    Floating and Sinking: Students learn about the factors affecting the buoyancy of objects, Archimedes' principle, and applications in floating and sinking.

    Electromagnetic Spectrum: This topic introduces the electromagnetic spectrum, including different types of electromagnetic waves, their properties, and applications.

    Electromagnetic Induction: Students study the generation of electric currents by electromagnetic induction and applications of electromagnetic devices.

    Mains Electricity: This topic focuses on the principles of alternating current (AC) circuits, power transmission, and electrical safety.

    Cathode Rays and Cathode Ray Tube: Students explore cathode rays, the properties of electrons, and the operation of a cathode ray tube.

    X-rays: This topic covers the production, properties, and applications of X-rays in medical imaging and other fields.

    Photoelectric Effect: Students learn about the photoelectric effect, the behavior of photons, and applications in photovoltaic cells.

    Radioactivity: This topic explores the nature of radioactivity, types of radioactive decay, and applications in various fields.

    Electronics: Students study basic electronic components, circuits, and the principles of amplification, rectification, and signal modulation.

  • Algebra for Math Placement : MA 008

    • US$500
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    This course serves as an introduction to equations of straight lines in various forms and the transition between these forms. Students will learn the manipulation and solution of linear equations and linear inequalities. The course is designed to provide a solid foundation in algebraic concepts necessary for success in higher-level math courses.
    Course Outline:

    Equations of straight lines: slope-intercept form, point-slope form, standard form
    Systems of linear equations: solution methods, graphical representations
    Linear inequalities: solution methods, graphical representations
    Word problems involving linear equations and inequalities

  • Finite Mathematics (Possible Math Codes: MA 110)

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    This course provides an overview of topics in finite mathematics and their applications. Students will explore logic, sets, counting, permutations, combinations, basic probability, descriptive statistics, and financial mathematics. Emphasis is placed on applying mathematical concepts to real-world scenarios.
    Course Outline:

    Logic and sets
    Counting principles and techniques
    Permutations and combinations
    Basic probability theory
    Descriptive statistics
    Financial mathematics: interest, annuities, loans

  • Precalculus Algebra ( MA 112)

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Precalculus Algebra covers fundamental algebraic concepts necessary for success in calculus and other higher-level math courses. Students will explore the algebraic, graphical, and numerical properties of various functions, including linear, quadratic, general polynomial, absolute value, rational, exponential, and logarithmic functions.
    Course Outline:

    Linear functions and equations
    Quadratic functions and equations
    General polynomial functions and equations
    Absolute value functions and equations
    Rational functions and equations
    Exponential and logarithmic functions

  • Precalculus Trigonometry (Possible Math Codes: MA 113)

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    This course builds upon the concepts covered in Precalculus Algebra (MA 112) and focuses on the numerical, graphical, and algebraic properties of trigonometric functions. Topics include inverse trigonometric functions, right angle trigonometry, parametric equations, polar coordinates, and conic sections.
    Course Outline:

    Trigonometric functions and their properties
    Inverse trigonometric functions
    Right angle trigonometry
    Trigonometric identities and equations
    Parametric equations and polar coordinates
    Conic sections: circles, ellipses, hyperbolas

  • Precal Algebra-Trigonometry (Possible Math Codes: MA 112/113)

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    This fast-paced course is designed as a review of the algebra and trigonometry topics needed for calculus. It combines the material covered in Precalculus Algebra (MA 112) and Precalculus Trigonometry (MA 113) into a single semester. Students will refresh their knowledge of algebraic concepts and develop a strong foundation in trigonometry to prepare them for higher-level math courses.
    Course Outline:

    Review of algebraic concepts: linear functions, quadratic functions, polynomials, rational functions
    Trigonometric functions and their properties
    Inverse trigonometric functions
    Trigonometric identities and equations
    Right angle trigonometry
    Parametric equations and polar coordinates

  • Calculus and Its Applications (Possible Math Codes: MA 120)

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    This course introduces calculus with an emphasis on problem-solving and applications in various fields. Students will explore algebraic, exponential, and logarithmic functions, their properties, and their use in modeling. The concepts of derivative and definite integral are covered, along with their applications in areas such as physics, biology, economics, and engineering.
    Course Outline:

    Algebraic functions: polynomial functions, rational functions
    Exponential and logarithmic functions
    Limits and continuity
    Differentiation: rules, applications to curve sketching, optimization
    Integration: techniques, applications to area and volume

  • Calculus I (Possible Math Codes: MA 125)

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Calculus I is an introductory course that focuses on differential calculus. Students will study limits of functions, derivatives of algebraic and transcendental functions, curve sketching using derivatives, optimization problems, and real-world applications in natural sciences, engineering, and economics.
    Course Outline:

    Limits and continuity
    Derivatives: rules, applications, and techniques
    Curve sketching using derivatives
    Optimization problems
    Applications in science, engineering, and economics

  • Calculus II (Possible Math Codes: MA 126)

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Calculus II is a continuation of Calculus I (MA 125) with an emphasis on integral calculus. Topics covered include techniques of integration, applications of the definite integral in various fields, improper integrals, infinite sequences and series, Taylor polynomials and Taylor series, and applications of parametric equations and polar coordinates.
    Course Outline:

    Techniques of integration: substitution, integration by parts, partial fractions
    Applications of the definite integral: geometry, physics, economics
    Improper integrals
    Infinite sequences and series
    Taylor polynomials and Taylor series
    Parametric equations and polar coordinates

  • Precal Algebra-Trigonometry MA 112/113

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Precal Algebra-Trigonometry is a fast-paced course designed as a comprehensive review of algebra and trigonometry topics necessary for success in calculus. This course combines the material covered in Precalculus Algebra (MA 112) and Precalculus Trigonometry (MA 113) into a single semester, providing students with a condensed yet rigorous preparation for higher-level math courses.

    The course begins with a thorough review of algebraic concepts, including linear functions, quadratic functions, polynomials, and rational functions. Students will engage in problem-solving exercises and explore various applications of algebra in real-world scenarios.

    The second part of the course delves into the study of trigonometric functions and their properties. Topics covered include trigonometric identities, equations, and inverse trigonometric functions. Students will also develop an understanding of right angle trigonometry and its applications in geometry and physics.

    Additionally, the course introduces parametric equations and polar coordinates, providing students with a foundation for understanding advanced mathematical concepts and applications in calculus.

    Throughout the course, students will engage in a combination of lectures, discussions, and problem-solving sessions to reinforce their understanding of the material. Emphasis is placed on critical thinking, logical reasoning, and developing strong problem-solving skills.

    By the end of the semester, students will have acquired a solid understanding of both algebraic and trigonometric concepts, equipping them with the necessary skills to succeed in calculus and other higher-level math courses.

    Course Outline:

    Review of algebraic concepts: linear functions, quadratic functions, polynomials, rational functions
    Trigonometric functions and their properties
    Trigonometric identities and equations
    Inverse trigonometric functions
    Right angle trigonometry
    Parametric equations and polar coordinates

  • Calculus and Its Applications MA 120

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Precal Algebra-Trigonometry is a fast-paced course designed as a comprehensive review of algebra and trigonometry topics necessary for success in calculus. This course combines the material covered in Precalculus Algebra (MA 112) and Precalculus Trigonometry (MA 113) into a single semester, providing students with a condensed yet rigorous preparation for higher-level math courses.

    The course begins with a thorough review of algebraic concepts, including linear functions, quadratic functions, polynomials, and rational functions. Students will engage in problem-solving exercises and explore various applications of algebra in real-world scenarios.

    The second part of the course delves into the study of trigonometric functions and their properties. Topics covered include trigonometric identities, equations, and inverse trigonometric functions. Students will also develop an understanding of right angle trigonometry and its applications in geometry and physics.

    Additionally, the course introduces parametric equations and polar coordinates, providing students with a foundation for understanding advanced mathematical concepts and applications in calculus.

    Throughout the course, students will engage in a combination of lectures, discussions, and problem-solving sessions to reinforce their understanding of the material. Emphasis is placed on critical thinking, logical reasoning, and developing strong problem-solving skills.

    By the end of the semester, students will have acquired a solid understanding of both algebraic and trigonometric concepts, equipping them with the necessary skills to succeed in calculus and other higher-level math courses.

    Course Outline:

    Review of algebraic concepts: linear functions, quadratic functions, polynomials, rational functions
    Trigonometric functions and their properties
    Trigonometric identities and equations
    Inverse trigonometric functions
    Right angle trigonometry
    Parametric equations and polar coordinates

  • Calculus and Its Applications MA 120

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Calculus and Its Applications is an introductory course that provides students with a solid foundation in calculus while emphasizing its practical applications in various fields. The course explores the fundamental concepts of calculus, including algebraic, exponential, and logarithmic functions, their properties, and their use in mathematical modeling.

    The course begins with a comprehensive study of algebraic functions, focusing on polynomial functions and rational functions. Students will learn about the properties and behavior of these functions, and how to manipulate and analyze them algebraically.

    The second part of the course introduces students to exponential and logarithmic functions, which play a crucial role in various scientific and real-world contexts. Students will explore their properties, understand the relationship between exponential and logarithmic functions, and learn how to solve equations involving these functions.

    The core concepts of calculus, such as limits and continuity, will be covered in depth, providing students with a solid foundation for further exploration. The concept of differentiation will be introduced, including rules and techniques for finding derivatives of algebraic and transcendental functions. Students will learn how to apply differentiation to solve problems related to curve sketching, optimization, and real-world applications in fields such as physics, biology, economics, and engineering.

    Finally, students will delve into the concept of integration, including techniques for finding antiderivatives and computing definite integrals. The applications of integration in areas such as area and volume calculations will be explored, along with real-world examples and practical scenarios.

    Throughout the course, students will engage in a combination of lectures, discussions, and problem-solving sessions to reinforce their understanding of the material. Emphasis is placed on developing a strong mathematical foundation, critical thinking skills, and the ability to apply calculus to solve real-world problems.

    Course Outline:

    Algebraic functions: polynomial functions, rational functions
    Exponential and logarithmic functions
    Limits and continuity
    Differentiation: rules, applications to curve sketching, optimization
    Integration: techniques, applications to area and volume

  • Calculus I MA 125

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Calculus I is an introductory course that focuses on the foundations of differential calculus. Students will explore the concept of limits, learn how to calculate derivatives of algebraic and transcendental functions, and study various applications of differentiation in natural sciences, engineering, and economics.

    The course begins by introducing the concept of limits, which forms the basis of calculus. Students will understand the behavior of functions as they approach specific values and explore the notion of continuity.

    Building upon this foundation, students will learn how to calculate derivatives using rules and techniques, including the power rule, product rule, quotient rule, and chain rule. They will apply differentiation to solve problems related to curve sketching, optimization, and related rates.

    Throughout the course, students will encounter real-world applications of differentiation in fields such as physics, biology, economics, and engineering. These applications will deepen their understanding of the practical utility of calculus and its relevance in diverse disciplines.

    By the end of the course, students will have acquired a solid understanding of differential calculus, including the ability to calculate derivatives, interpret their meaning in context, and apply them to solve real-world problems.

    Course Outline:

    Limits and continuity
    Derivatives: rules, applications, and techniques
    Curve sketching using derivatives
    Optimization problems
    Applications in science, engineering, and economics

  • Calculus II MA 126

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Calculus II is a continuation of Calculus I (MA 125) with an emphasis on integral calculus. Building upon the foundations established in Calculus I, this course explores techniques of integration, applications of the definite integral in various fields, infinite sequences and series, improper integrals, and the applications of parametric equations and polar coordinates.

    The course begins by introducing students to various techniques of integration, including substitution, integration by parts, and partial fractions. These techniques enable students to solve a wide range of integrals, from basic to more complex forms.

    The applications of the definite integral in areas such as geometry, physics, and economics are explored in depth. Students will learn how to use integration to calculate areas, volumes, work, and other quantities of interest in different contexts. Real-world examples and problems provide students with hands-on experience in applying integration to solve practical problems.

    The course also covers topics related to infinite sequences and series, including convergence tests and Taylor polynomials. Students will explore the concept of an infinite series, understand convergence and divergence, and study the convergence tests that determine the behavior of series.

    Additionally, students will be introduced to parametric equations and polar coordinates. They will learn how to express curves using parametric equations, understand the concept of a parameter, and explore the use of polar coordinates in graphing and solving problems involving symmetry.

    By the end of the course, students will have a solid understanding of integral calculus, including the ability to solve a variety of integration problems, apply integration to real-world scenarios, analyze infinite series, and work with parametric equations and polar coordinates.

    Course Outline:

    Techniques of integration: substitution, integration by parts, partial fractions
    Applications of the definite integral: areas, volumes, work
    Infinite sequences and series: convergence tests, Taylor polynomials
    Improper integrals
    Parametric equations and polar coordinates

  • Linear Algebra Math 227

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Linear Algebra is a foundational course that introduces students to the fundamental concepts and techniques of linear algebra. Students will study systems of linear equations, matrices, vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, and their applications in various fields.

    The course begins with an exploration of systems of linear equations and their solution methods, including Gaussian elimination and matrix operations. Students will learn to represent and manipulate matrices and solve systems using matrix algebra.

    Topics such as vector spaces, linear independence, subspaces, and basis are introduced, providing students with a solid understanding of the fundamental structures in linear algebra. They will explore linear transformations, which are functions that preserve vector space structures, and study their properties and applications.

    Determinants play a crucial role in linear algebra, and students will learn how to compute determinants of matrices and use them to analyze properties of systems of equations, invert matrices, and calculate volumes and areas.

    Eigenvalues and eigenvectors are essential concepts in linear algebra, and their study allows students to understand the behavior of linear transformations. Students will learn to compute eigenvalues and eigenvectors, diagonalize matrices, and apply these concepts in diverse applications.

    Throughout the course, students will encounter real-world applications of linear algebra in fields such as physics, engineering, computer science, and economics. These applications highlight the practical relevance and power of linear algebra in solving problems and modeling real-world phenomena.

    By the end of the course, students will have a solid understanding of the fundamental concepts and techniques of linear algebra, enabling them to analyze and solve problems involving systems of linear equations, matrices, vector spaces, and linear transformations.

    Course Outline:

    Systems of linear equations
    Matrices and matrix operations
    Vector spaces, linear independence, and subspaces
    Linear transformations
    Determinants and their applications
    Eigenvalues and eigenvectors

  • Differential Equations I Math 237

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Differential Equations I is an introductory course that focuses on ordinary differential equations (ODEs). Students will study first-order differential equations, higher-order linear differential equations, systems of first-order linear differential equations, Laplace transforms, and methods for approximating solutions to differential equations.

    The course begins by introducing first-order differential equations and exploring various techniques to solve them, including separable equations, linear equations, and exact equations. Students will learn solution methods such as integrating factors, substitution, and the method of undetermined coefficients.

    Building upon this foundation, students will study higher-order linear differential equations. They will explore techniques to solve homogeneous and non-homogeneous linear equations, including finding complementary solutions and particular solutions using methods like the method of undetermined coefficients and variation of parameters.

    Systems of first-order linear differential equations are another important topic in the course. Students will learn methods to solve such systems, including matrix methods, eigenvalues and eigenvectors, and diagonalization.

    Laplace transforms provide a powerful tool for solving differential equations, and students will study their properties and applications. They will learn how to apply Laplace transforms to convert differential equations into algebraic equations, solve initial value problems, and analyze systems.

    Additionally, students will explore methods for approximating solutions to differential equations, including power series solutions and numerical methods such as Euler's method.

    Throughout the course, students will encounter real-world applications of differential equations in fields such as physics, engineering, biology, and economics. These applications will highlight the importance of differential equations in modeling and understanding dynamic systems.

    By the end of the course, students will have a solid understanding of ordinary differential equations and their solution techniques. They will be equipped with the mathematical tools to analyze and solve problems involving differential equations and apply their knowledge in various scientific and engineering disciplines.

    Course Outline:

    First-order differential equations: separable equations, linear equations, exact equations
    Higher-order linear differential equations: homogeneous and non-homogeneous equations, variation of parameters
    Systems of first-order linear differential equations
    Laplace transforms and their applications
    Approximation methods for differential equations

  • Discrete Math Structures Math 300

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Discrete Math Structures is an introductory course that focuses on fundamental concepts in discrete mathematics. Students will explore topics such as sets, functions, logic, induction, recursion, combinatorics, and graphs.

    The course begins by introducing sets and operations on sets, including set union, intersection, and complement. Students will learn about functions and their properties, such as injectivity, surjectivity, and composition.

    Logic plays a vital role in discrete mathematics, and students will study propositional logic, truth tables, logical connectives, and logical equivalences. They will understand how to construct logical arguments and proofs using these principles.

    Induction and recursion are powerful proof techniques in mathematics, and students will learn how to apply them to establish mathematical statements and analyze algorithms. They will explore combinatorial principles and counting techniques, including permutations, combinations, and the binomial theorem.

    Graph theory is another important component of discrete mathematics, and students will investigate graph properties, graph representations, connectivity, and graph algorithms. They will learn about Eulerian and Hamiltonian paths, planar graphs, and spanning trees.

    Throughout the course, students will engage in problem-solving activities, applying their knowledge of discrete math concepts to solve real-world problems. They will develop critical thinking skills, logical reasoning abilities, and the ability to construct rigorous mathematical arguments.

    By the end of the course, students will have a solid foundation in discrete mathematics and its applications. They will be equipped with the essential tools and techniques to analyze and solve problems in computer science, cryptography, network analysis, and other fields where discrete math plays a crucial role.

    Course Outline:

    Sets and functions
    Logic and proofs
    Induction and recursion
    Combinatorics and counting principles
    Graph theory

  • Special Topics in Mathematics MATH 490

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Special Topics in Mathematics is an advanced course that explores selected topics in elementary undergraduate mathematics. The course allows for in-depth study of specific areas of mathematics that may not be covered extensively in other courses.

    The content of the course may vary depending on the instructor's expertise and student interests. Possible topics may include advanced topics in algebra, geometry, number theory, mathematical logic, mathematical modeling, or applied mathematics.

    Students will engage in rigorous mathematical reasoning and problem-solving, delving into advanced concepts and techniques within the chosen special topic. The course may involve a combination of lectures, discussions, readings, and independent research projects.

    The goal of this course is to provide students with an opportunity to explore specialized areas of mathematics and deepen their understanding of specific topics of interest. It allows students to expand their mathematical knowledge beyond the core curriculum and develop expertise in specialized branches of mathematics.

    The course is designed for advanced undergraduate students who have a strong foundation in mathematics and are eager to pursue further exploration in specific areas. It provides a platform for students to develop their critical thinking, analytical reasoning, and independent research skills.

    Course Outline: The course outline will vary depending on the specific topic chosen for the course. It will be determined by the instructor in consultation with the students.

    Note: The course outline and duration for Special Topics in Mathematics may vary significantly depending on the specific topic chosen and the instructor's approach.

  • Math for Elementary Teachers III (Possible Math Codes: MA 311)

    • US$600
    • Duration: 3 Months
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Description: Math for Elementary Teachers III is a course designed to develop problem-solving strategies and enhance mathematical reasoning skills specifically tailored for elementary education majors. The course emphasizes the application of problem-solving techniques by exploring a variety of interesting mathematical problems that require students to utilize a wide range of conceptual tools and select appropriate strategies.
    The course builds upon the foundational knowledge acquired in Math for Elementary Teachers I and II, delving deeper into mathematical concepts relevant to elementary school mathematics curriculum. Students will engage in activities that promote critical thinking, logical reasoning, and mathematical communication.

    Topics covered in this course may include number theory, geometry, measurement, data analysis, probability, and algebraic thinking. Students will explore these topics through hands-on activities, group work, and collaborative problem-solving tasks. They will also gain an understanding of how to effectively teach these concepts to elementary school students.

    By the end of the course, students will have developed a deeper mathematical understanding and the pedagogical knowledge necessary to teach elementary school mathematics effectively. They will be equipped with a toolkit of problem-solving strategies and instructional approaches to engage and inspire their future students.

    Course Outline:

    Number theory: divisibility, prime numbers, factors, multiples
    Geometry: properties of shapes, spatial relationships
    Measurement: units, conversions, area, perimeter, volume
    Data analysis: organizing and interpreting data, graphical representations
    Probability: likelihood and uncertainty
    Algebraic thinking: patterns, relationships, equations

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