Lec

Day

Sec

                   Topic

#1

Mon 1/7

1.1

Modeling discrete data: introduction.
Method of least squares.

#2

Wed 1/9

1.2, 1.3, 1.4

Lines in the Plane.
Functions and their graphs.
New functions from old.

#3

        Fri  1/11

1.5

Trigonometric functions.

#4

Mon 1/14

1.6

Exponential and logarithmic functions.

#6

       Wed 1/16

2.1

Modeling rates of change: introduction.

#7

Fri 1/18

2.2, 2.3, 2.4

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

#8

Wed 1/23

2.5, 2.6

Continuity.
Tangent lines and their slopes.

#9

       Thu 1/24

      (X-period)

2.6, 2.7

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

#10

Fri 1/25

2.8

Differentiation rules.

#11

Mon 1/28

2.9

Derivatives of trigonometric functions.

#12

      Wed 1/30

2.10, 2.11

The mean value theorem.
Implicit differentiation.

#13

Fri 2/1

2.12

Derivatives of exponentials and logs.

Hour Exam 1: 1.45  – 2.50 pm
in  28 Silsby

#14

Mon 2/4

2.13, 2.14

Newton's method.
Linear approximations.

#15

Wed 2/6

2.15, 2.16

Antiderivatives and initial value problems.
Velocity and acceleration.

#16

Thu 2/7

(X-period)

2.18

Case Study: Torricelli's Law.

#17

Mon 2/11

3.1

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

#18

Wed 2/13

3.2, 3.3

Exponential growth and decay.
Separable differential equations.

#19

         Fri 2/15

3.4, 3.7

Slope fields and Euler's method.
Case Study: Population Modeling.

#20

Mon 2/18

3.5

Issues in curve sketching.

#21

Wed 2/20

4.1

Modeling accumulations: introduction.

Hour Exam 2: 1.45  – 2.50 pm
in 28 Silsby

#22

          Fri 2/22

4.2, 4.3

The definite integral.
Properties of the definite integral.

#23

Mon 2/25

4.4, 4.5

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

#24

Wed 2/27

4.6, 4.7

Trapezoid rule.
Areas between curves.

#25

Fri 2/29

4.9

Arc length.

#26

Mon 3/3

4.11

Case Study: Flood Watch.

#27

Wed 3/5

4.10

Inverse trigonometric functions

#28

Fri 3/7

-

Review of course.
Course evaluations.