Tentative course schedule

Updated 3/27

 

Date

Section

Topic

Mon 7 Jan

 

Syllabus and background

Wed 9 Jan

1.1-1.3

Functions and more functions

Fri 11 Jan

1.4

Transcendental functions

Mon 14 Jan

2.1, 2.2

Limits

Wed 16 Jan

2.2, 2.3

More about limits

Fri 18 Jan

2.3, 2.4

Limits, continuity

Mon 21 Jan

None

No Class - The Rev. Dr. Martin Luther King, Jr. Day

Wed 23 Jan

3.1, 3.2

The Derivative, basic derivative rules

Fri 25 Jan

3.3, 3.4

The chain rule, derivatives of algebraic functions

Mon 28 Jan

3.5

Maxima and minima of functions

Wed 30 Jan

3.6

Applied optimization problems

Fri 1 Feb

3.7

Derivatives of trigonometric functions

Mon 4 Feb

3.8

Exponential and logarithmic functions

Wed 6 Feb

3.9

Implicit differentiation and related rates

Fri 8 Feb

1.1-3.8

Review for 1st midterm

Mon 11 Feb

 

1st Midterm

Wed 13 Feb

4.1, 4.2

Linear approximation

Fri 15 Feb

4.3

Increasing and decreasing functions and the mean value theorem

Mon 18 Feb

4.4, 4.5

The first derivative test, curve sketching

Wed 20 Feb

4.6

Higher derivatives and concavity

Fri 22 Feb

4.7

More curve sketching

Mon 25 Feb

4.8

Indeterminate forms and L’Hôpital’s rule

Wed 27 Feb

4.9

More indeterminate forms

Fri 29 Feb

5.1, 5.3

Elementary area computations

Wed 3 Mar

None

Spring Break

Wed 5 Mar

None

Spring Break

Wed 7 Mar

None

Spring Break

Mon 10 Mar

5.1, 5.3

Elementary area computations

Wed Mar 12

5.4

Riemann sums and the integral

Fri 14 Mar

5.2

Antiderivatives and initial value problems

Mon 17 Mar

5.5

Evaluation of integrals

Wed 19 Mar

5.6

The fundamental theorem of calculus

Fri 21 Mar

 

Review day

Mon 24 Mar

5.7

Integration by substitution

Wed 26 Mar

5.7, 5.8

More substitution, areas of plane regions

Fri 28 Mar

3.9-5.6

Review for 2nd midterm

Mon 31 Mar

 

2nd midterm

Wed 2 Apr

5.8, 6.1

More areas, “Riemann sum approximations”

Fri 4 Apr

None

No class - Spring recess

Mon 7 Apr

6.2

Volumes by the method of cross-sections

Wed 9 Apr

6.3

Volumes by the method of cylindrical shells

Fri 11 Apr

6.4

Arc length and surface area of revolution

Mon 14 Apr

6.7

The natural logarithm as an integral

Wed 16 Apr

6.8

Inverse trigonometric functions

Fri 18 Apr

6.9

Hyperbolic functions

Mon 21 Apr

All of the above

Review for Final Exam

Wed 23 Apr

All of the above

Review for Final Exam