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 |
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 |
|