UBC MATH 100
Differential Calculus with Applications to Physical Sciences and Engineering
MATH 100 is an introductory calculus course designed for students in science, engineering, and related programs. The course focuses on foundational concepts in differential calculus, including limits, derivatives, optimization, related rates, and their applications in physical sciences and engineering. Students also learn how to approach mathematical problems systematically and apply calculus to real-world scenarios.
Video Samples
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Modes of tutoring available
Private
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Lecture-recordings
Video Lectures list
- Everything you need to know Before taking Calculus
- Sets, intervals, and functions. Review of power, trig, exponential, and logarithmic functions and graphs. Sketching graphs. Asymptotics.
- Limits, asymptotes, continuity, and the intermediate value theorem
- Rates of change, the definition of the derivative, linear approximation, and the exponential function
- Properties of the derivative, product and quotient rules, elementary derivatives, trigonometric functions and their derivatives
- Chain rule, implicit differentiation, and logarithmic differentiation
- Inverse trigonometric functions and their derivatives, mean value theorem, higher order derivatives and applications
- l'Hopital's rule and related rates
- Features of graphs and curve sketching
- Newton's method and optimization
- Linear, quadratic, and higher degree approximations. Taylor series and error bounds
- Differential equations, phase lines, slope fields, Euler's method, and applications
- Multivariable functions, partial derivatives, optimization in two variables, and Lagrange multipliers
Our Teaching Philosophy
Step-by-Step Problem Solving
We provide detailed walkthroughs of calculus problems, ensuring you understand the underlying principles and methods.
Focus on Conceptual Understanding
Our goal is to help you deeply grasp calculus concepts, moving beyond rote memorization to confidently tackle a variety of problems.
Practical Examples and Visual Learning
Using real-world applications and visual aids like graphs and diagrams, we make abstract calculus concepts tangible and easier to comprehend.
Testimonials
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