Math 231

Section numbers refer to the textbook. When class is over, I update the calendar to reflect what we covered and mark it in bold.

1.2

linear and quadratic functions (review)

1.4

trigonometric functions (review)

1.5

inverse functions (review)

1.6

exponential and logarithmic functions (review)

2.1

limits: instantaneous velocity and tangent lines

2.2

investigating limits

2.3

basic limit laws

2.4

limits and continuity

2.5

indeterminate forms

2.6

the squeeze theorem and trigonometric limits

2.7

limits at infinity

2.8

the intermediate value theorem

3.1

definition of the derivative

3.2

the derivative as a function

3.3

product and quotient rules

3.4

rates of change

3.5

higher derivatives

3.6

trigonometric functions

3.7

the chain rule

3.8

implicit differentiation

3.9

derivatives of general exponential and logarithmic functions

3.10

related rates

4.1

linear approximation

4.2

extreme values

4.3

the mean value theorem and monotonicity

4.4

the second derivative and concavity

4.5

L'Hôpital's rule

4.6

analyzing and sketching graphs of functions

4.7

applied optimization

5.1

approximating and computing area

5.2

the definite integral

5.3

the indefinite integral

5.4

the fundamental theorem of calculus, part I

5.5

the fundamental theorem of calculus, part II

5.7

the substitution method

5.8

further integral formulas