The following tentative schedule is subject to revision as the semester progresses.

Week of January 14

Vectors. Dot product. Vector-valued functions and parametric curves.

Week of January 21

Monday, January 21, is the Martin Luther King Jr. holiday.

Limits of functions. Calculation of limits.

Week of January 28

Limits and continuity.

Week of February 4

More on limits. Derivatives and rates of change.

Week of February 11

Computation of derivatives.

The first exam takes place in class on Thursday, February 14.

Week of February 18

Chain rule. Implicit differentiation.

Week of February 25

Derivatives of vector functions. Tangents to parametric curves.

Week of March 4

Related rates. Linear approximation.

Week of March 11

Spring Break: classes do not meet.

Week of March 18

Extreme-value theorem. Mean-value theorem. Derivatives and the shape of graphs.

Week of March 25

l’Hôpital’s rule. Curve sketching.

The second exam takes place in class on Thursday, March 28.

Week of April 1

Optimization problems. Antiderivatives.

Week of April 8

Area. The definite integral. The fundamental theorem of calculus.

Week of April 15

The indefinite integral. The net change theorem.

Friday, April 19, is a reading day.

Week of April 22

Integration via substitution. Areas between curves.

Week of April 29

Tuesday, April 30, is redefined as Friday, so Math 171 does not meet.

Wednesday, May 1, is a reading day: classes do not meet.

Thursday, May 2, is the day of the final examination, 3:00–5:00 in the afternoon.