Lec

Day

Sec

                   Topic

#1

Wed 1/5

 1.2

Introduction and lines in the plane.

#2

Fri 1/7

1.3, 1.4

Functions and their graphs.
New functions from old.

#3

        Mon 1/10

1.5

Trigonometric functions.

#4

        Wed 1/12

1.6

Exponential and logarithmic functions.

#5

          Fri 1/14

2.1

Modeling rates of change: introduction.

#6

Wed 1/19

2.2, 2.3, 2.4

The legacy of Galileo, Newton, and Leibniz.
Limits of functions.
Limits at infinity.

#7

Thu 1/20 (x-hr)

2.5, 2.6

Continuity.
Tangent lines and their slopes.

#8

         Fri 1/21

2.6, 2.7

Tangent lines and their slopes. (contd.)
The derivative.

#9

        Mon 1/24

2.8

Differentiation rules.

#10

       Wed 1/26

2.9

Derivatives of trigonometric functions.

#11

          Fri 1/28

2.10, 2.11

The mean value theorem, Intervals of Increase/Decrease
Implicit differentiation.

#12

Mon 1/31

2.12

Derivatives of exponentials and logs.

Exam 1:  5 pm – 7 pm. Location TBA

#13

         Wed 2/2

2.13, 2.14

Newton's method.
Linear approximations.

#14

           Fri  2/4

2.15, 2.16

Antiderivatives and initial value problems.
Velocity and acceleration.

#15

Mon 2/7

2.17

Related rates.

#16

Wed 2/9

3.1

Modeling with differential equations: introduction.
Separable differential equations: first look.

#17

Thu 2/10 (x-hr)

3.2, 3.3

Exponential growth and decay.
Separable differential equations.

#18

         Mon 2/14

3.4

Slope fields and Euler's method.

#19

Wed 2/16

3.5

Issues in curve sketching.

#20

Fri 2/18

3.6

Optimization.

Exam 2: 5 pm – 7 pm. Location TBA

#21

         Mon 2/21

4.1

 Modeling accumulations: introduction.

#22

          Wed 2/23

4.2, 4.3

The definite integral.
Properties of the definite integral.

#23

Fri 2/25

4.4, 4.5

The fundamental theorem of calculus.
Techniques of integration (omit integration by parts).

#24

Mon  2/28

4.6, 4.7

Trapezoid rule.
Areas between curves.

#25

Wed  3/2

4.9

Arc length.

#26

Fri  3/4

4.10

Inverse trigonometric functions.

#27

         Mon  3/7

-

Review

#28

Wed 3/9

-

Review

Final Exam Sat March 12, 8am-11am, Location TBA