MATH 2300 – Updated Schedule

Lecture

Date

Section

Topics

1

Mon. 8/27

6.9

Functions defined by the integrals. Evaluating and Graphing Functions defined by the integrals, Integrals with Functions as limits of integration

2

Wed. 8/29

7.4 + 1.8

Arc Length, Parametric Equations, Arc Length of Parametric Curves

3

Fri. 8/31

7.9

Hyperbolic Functions (Highlight the important steps and leave the rest for home reading during the weekend)

4

Wed. 9/5

8.2

Integration by parts (up to Tabular Method

5

Fri. 9/7

8.2

Integration by parts (the rest)

6

Mon. 9/10

8.3

Trig Integrals

7

Wed. 9/12

8.4

Trig Substitutions

8

Fri. 9/14

8.5

Partial Fractions

9

Mon. 9/17

Review

 

10

Wed. 9/19

Review

Exam 1

11

Fri. 9/21

8.6

Using Tables of Integrals: Perfect matches, Matches requiring substitutions; Matches requiring Reduction Formulae

12

Mon. 9/24

8.6

Using Tables of Integrals: Matches requiring Special Substitutions

13

Wed. 9/26

8.8

Improper Integrals (SKIP Arc length and surface area using Improper Integrals

14

Fri. 9/28

9.1

First-Order Differential Equations: Terminology, Solution of Differential Equations, Initial Value problems, First Order Linear Equations.

15

Mon. 10/1

9.1

Applications of First-Order Differential Equations

16

Wed. 10/3

9.4

Second order Linear Homogeneous Differential Equations with constant coefficients, (Distinct Real Roots, Equal Roots)

17

Fri. 10/5

9.4

Second order Linear Homogeneous Differential Equations with constant coefficients, (Complex Roots), Initial Value Problem

18

Mon. 10/8

10.1

Sequences: Definition of a sequence, graph of a sequence, Limit of a sequence.

19

Wed. 10/10

10.1

Sequences: The squeezing Theorem for Sequences, Sequences Defined Recursively

20

Fri. 10/12

10.2

Monotone Sequences

21

Mon. 10/15

Review

 

22

Wed. 10.17

Review

Exam 2

23

Fri. 10/19

10.3

Infinite Series: Sums of Infinite Series

24

Mon. 10/22

10.3

Infinite Series: Geometric Series, Telescopic Series, Harmonic Series

25

Wed. 10/24

10.4

Convergence Tests

26

Fri. 10/26

10.5

Comparison Test, Ratio Test, Root Test.

27

Mon. 10/29

10.6

Alternating Series; Conditional Convergence

28

Wed. 10/31

10.7

Maclaurin and Taylor Polynomials

29

Fri. 11/2

10.8

Maclaurin and Taylor Series; Power Series

30

Mon. 11/5

10.9

Convergence of Taylor Series

31

Wed. 11/7

10.10

Differentiating and Integrating Power Series

32

Fri. 11/9

11.1

Polar Coordinates (up to and including Families of circles)

33

Mon. 11/12

Review

 

34

Wed. 11/14

Review

Exam 3

35

Fri. 11/16

11.1

Polar Coordinates (sketching of Curves)

36

Mon. 11/19

11.2

Tangent Lines and Arc Length for Parametric and Polar Curves

37

Wed. 11/21

11.3

Area in Polar Coordinates

38

Fri. 11/23

11.4

Conic Sections in Calculus: Parabolas and Ellipses

39

Mon. 12/3

11.4

Conic Sections in Calculus: Hyperbolas and Applications

40

Wed. 12/5

11.5

Rotation of Axes

41

Fri. 12/7

Review

 

42

Mon. 12/10

Review

 

43

Wed. 12/12

Review

 

44

Fri. 12/14

Review