Department of Mathematics Server University of Manitoba Information for students in MATH 1500 (A02) Fall 2018 Chapter 3

Lecture announcements, Chapter 3.

Lecture 13, October 03.

3.1 Differentiation rules: constant, \( x \), \(x^{2}\), power rule, constant multiple rule.

Lecture 14, October 05.

3.1 continued. Sums and differences, polynomials. Exponential functions, definition of \( \mathbf{e} \).

Lecture 15, October 10.

3.2 Product and quotient rule

Lecture 16, October 12.

3.3 Derivatives of trigonometric functions. Special trigonometric limits.

Lecture 17, October 15.

(3.3 concluded) 3.4 The chain rule, general power rule

Lecture 18, October 17.

3.5 Implicit differentiation.

Lecture 19, October 19.

3.6 Derivatives of logarithm functions (intro)

Lecture 20, October 22.

1.5 Inverse functions and logarithms

Lecture 21, October 24.

\( \mathbf{e} \) as a limit.
3.9 Application: related rates.

Lecture 22, October 26.

More examples of related rates problems.