Name: Michael Gichura Wangari
Title: Experienced Online Tutor
About Me:
I am a dedicated and passionate online tutor with a strong educational background and a proven track record of helping students achieve their academic goals. With 15 years of experience, I have honed my teaching skills and developed effective strategies for delivering high-quality online education.
Education:
Bsc. Electrical & Electronics Engineering, Dedan Kimathi University of Technology, 2014
Bsc. Telecommunication & Information Engineering, Dedan Kimathi University of Technology, 2014
Advanced Diploma in Technical Teacher Education, Kenya Technical Trainers College, 2016
Certification in Monitoring and Evaluation, Kenya Institute and Management, 2022
Teaching Specialization:
I specialize in Engineering Mathematics I, II and III offering comprehensive tutoring services in these areas. My expertise covers,
Calculus:
1. Differentiation and integration.
2. Limits and continuity.
3. Applications in rate of change, optimization, and related rates.
Differential Equations:
1. Ordinary differential equations (ODEs) and partial differential equations (PDEs).
2. Solution methods, including separation of variables, method of undetermined coefficients, and Laplace transforms.
3. Applications in dynamics, heat transfer, fluid mechanics, and electrical circuits.
Linear Algebra:
1. Matrices, determinants, and matrix algebra.
2. Vector spaces and linear transformations.
3. Eigenvalues and eigenvectors.
4. Applications in structural analysis, control systems, and computer graphics.
Vector Calculus:
1. Grad, div, and curl operators.
2. Line integrals, surface integrals, and volume integrals.
3. Theorems like Stokes' theorem and the divergence theorem.
4. Applications in electromagnetism, fluid dynamics, and solid mechanics.
Probability and Statistics:
1. Probability distributions and density functions.
2. Statistical methods, including hypothesis testing and regression analysis.
3. Applications in reliability analysis, quality control, and experimental design.
Complex Analysis:
1. Complex numbers and functions.
2. Contour integration and residue theorem.
3. Applications in electrical engineering, fluid flow analysis, and signal processing.
Numerical Methods:
1. Numerical integration and differentiation.
2. Root-finding methods, such as the bisection method and Newton-Raphson method.
3. Finite difference methods and finite element analysis.
4. Applications in solving engineering problems on computers.
Transforms:
1. Laplace transforms and Fourier transforms.
2. Z-transforms (used in discrete systems).
3. Applications in control systems, signal processing, and circuit analysis.
Complex Variables:
1. Analytic functions, Cauchy-Riemann equations, and conformal mapping.
2. Applications in potential theory, fluid dynamics, and elasticity.
Ordinary Differential Equations (ODEs):
1. First-order ODEs and higher-order linear ODEs.
2. Initial value problems and boundary value problems.
3. Applications in mechanical vibrations, circuit analysis, and control systems.
Mathematical Modeling:
1. Formulating mathematical models to represent real-world engineering systems and phenomena.
2. Applying mathematical techniques to solve engineering problems and analyze results.
I am well-versed in designing customized lesson plans to cater to the unique needs of each student.
Teaching Philosophy:
I believe in fostering a positive learning environment where students are encouraged to ask questions, think critically, and develop a deep understanding of the subject matter. My teaching philosophy revolves around ;
Online Teaching Philosophy: Empowering Lifelong Learners
In the digital age, education transcends the boundaries of physical classrooms, offering boundless opportunities for knowledge acquisition and skills development. As an online educator, my philosophy is rooted in the belief that education is a lifelong journey, and my role is to empower students to become independent, critical thinkers and lifelong learners.
1. Student-Centered Learning:
i. I prioritize the individual needs, interests, and goals of each student.
ii. I create a supportive and inclusive online learning environment where students feel valued, safe, and motivated to participate.
2. Active Engagement:
i. Active participation is key to effective learning. I design interactive lessons that encourage students to engage with the content, collaborate with peers, and apply their knowledge.
ii. I incorporate various media and technology tools to foster engagement and enhance the learning experience.
3. Clear Communication:
i. Effective communication is fundamental to a successful online classroom. I maintain open lines of communication with students, providing clear instructions, feedback, and timely responses to questions.
ii. I use a variety of communication channels, such as discussion forums, video conferencing, and email, to ensure accessibility and clarity.
4. Constructivist Approach:
i. I embrace a constructivist teaching approach, where students actively build their understanding through problem-solving, critical thinking, and reflection.
ii. I encourage students to question, explore, and discover knowledge within the context of the subject matter.
5. Personalized Learning:
i. I recognize that every student is unique, with distinct learning styles and paces. I tailor my teaching methods to accommodate these differences, offering flexibility in assessments and learning pathways.
ii. I work closely with students to set personalized goals and provide the necessary support to achieve them.
6. Assessment for Learning:
i. Assessment is not just about evaluation; it's a tool for learning and improvement. I use various formative assessments to gauge student progress and adapt my teaching accordingly.
ii. Feedback is constructive and actionable, highlighting strengths and suggesting areas for growth.
7. Technology Integration:
i. I harness the potential of educational technology to enhance the online learning experience. I ensure that students are proficient in using digital tools and platforms that are relevant to the subject matter.
ii. I stay current with technology trends and continually evaluate their suitability for the online classroom.
8. Fostering Community:
i. Building a sense of community in the online classroom is essential. I create opportunities for students to connect with their peers, facilitating peer learning and a supportive network.
ii. I promote cultural and intellectual diversity, celebrating the richness it brings to the learning environment.
9. Lifelong Learning:
i. I model the value of continuous learning by staying up-to-date with my subject matter and best practices in online education.
ii. I instill in my students the belief that learning is a lifelong endeavor, and I encourage them to take ownership of their education beyond our virtual classroom.
10. Ethical and Inclusive Teaching:
i. I uphold the highest ethical standards and promote academic integrity in my online courses.
ii. I am committed to creating an inclusive and equitable online environment, respecting the diverse backgrounds, perspectives, and experiences of all students.
In conclusion, my online teaching philosophy is grounded in the belief that education is a transformative and ongoing journey. I am dedicated to guiding, inspiring, and empowering students as they navigate this journey, equipping them with the skills and mindset to become lifelong learners, critical thinkers, and responsible global citizens.
Teaching Experience:
I have had the privilege of working with a diverse range of students, including the lowest grade to the highest grade. My experience includes one-on-one tutoring, group classes, and online platforms. Throughout my career, I have consistently helped students improve their grades and gain a deeper appreciation for the subjects they are studying.
Online Teaching Tools:
I am proficient in using various online teaching tools, including Zoom, Skype and Google Classroom, which allow for an interactive and engaging virtual classroom experience. I am also skilled at creating and sharing digital resources to enhance the learning process.
Approach to Online Tutoring:
In the online learning environment, I prioritize creating a supportive and interactive atmosphere. I adapt my teaching methods to ensure that the virtual experience is as effective as in-person tutoring. My approach includes:
Previous Student Success:
I am proud to have worked with numerous students who have achieved remarkable success under my guidance. Some of my past achievements include:
1. Helping a struggling student improve their grades from lowest grade to highest grade.
2. Assisting a student in gaining acceptance to their desired college or university.
3. Fostering a lifelong love of learning in students and helping them become more confident and self-reliant.
Why Choose Me:
1. I am dedicated to the success of my students and committed to helping them achieve their goals.
2. My personalized teaching approach ensures that every student's unique needs are met.
3. I have a strong online teaching presence and the technical skills to create an engaging virtual classroom.
4. I am flexible, patient, and able to adapt to various learning styles and abilities.
Availability:
I offer flexible scheduling options to accommodate students' busy lives. Feel free to contact me to discuss your specific needs and availability.
Let's Learn Together:
If you're looking for an experienced and dedicated online tutor to help you reach your academic goals, I'm here to assist you every step of the way. Let's embark on this educational journey together and work towards your success.