MATH1451 -- Calculus I with Applications

Fall 2012

Instructor: Josh Engwer

"Mathematics, you see, is not a spectator sport." -- George Polya, circa 1969.

Course syllabus

Lecture Notes:

Course Calendar:  [book section(s) and/or lecture note(s) that were covered during lecture]

DATE: OUTLINE: BOOK: NOTES: DESCRIPTION:
08/27 Mon 1.1

[LOGIC-SETS],[ALGEBRA]

Review
08/29 Wed 1.1 [LOGIC-SETS],[ALGEBRA] Review
08/31 Fri 1.2/1.3 [LINES-CIRCLES],[DOMAIN] Review

09/03

Mon

****

****

****

<< NO CLASS >>

09/05 Wed 1.3 [DOMAIN] Review
09/07 Fri 1.4 [TRIG-FCN],[TRIG-INV]
================ START CALCULUS ================
09/10 Mon 2.1 [LIMITS] Limits: Graph Method
09/12 Wed 2.2 2.2 [LIMITS] Limits: Algebraic Methods
09/14 Fri 2.3 2.3 [CONTINUITY] Continuity
09/17 Mon 2.4 [LIMITS] Limits: Exp & Log
09/19 Wed EXAM 1 Review

09/21

Fri

[EXAM 1 INFO/LOGISTICS/ADVICE]

EXAM 1

09/24 Mon 3.1 Derivatives: Def'n, Tangent Lines
09/26 Wed 3.2/3.3 [DERIVATIVES] Derivatives: Rules, Higher-Orders
09/28 Fri 3.4 [DERIVATIVES] Rates of Change, Rectilinear Motion
10/01 Mon 3.4/3.5 [DERIVATIVES] Rectilinear Motion, Chain Rule
10/03 Wed 3.6 [DERIVATIVES] Derivatives: Implicit, Inverse Trig, Exp, Log
10/05 Fri 3.7 [RELATED-RATES] Related Rates
10/08 Mon 3.8 Differentials, Newton's Method
10/10 Wed EXAM 2 Review

10/12

Fri

[EXAM 2 INFO/LOGISTICS/ADVICE]

EXAM 2

10/15 Mon 4.1 4.1 Critical Numbers, Absolute Extrema
10/17 Wed 4.2 Rolle's Thm, Mean Value Thm (M-V-T)
10/19 Fri 4.3 4.3 [CURVE-SKETCH-I] Curve Sketching I : Hills, Valleys, Inflection Points
10/22 Mon 4.3   Curve Sketching I : Hills, Valleys, Inflection Points
10/24 Wed 4.4 4.4 [CURVE-SKETCH-II] Curve Sketching II : Cusps, Vertical Tangents, Asymptotes
10/26 Fri 4.4   Curve Sketching II : Cusps, Vertical Tangents, Asymptotes
10/29 Mon 4.5 4.5 Limits: L'Hospital's Rule
10/31 Wed 4.6 4.6 [OPTIMIZE] Optimization Problems
11/02 Fri 4.6   Optimization Problems
11/05 Mon 4.6   Optimization Problems
11/07 Wed EXAM 3 review

11/09

Fri

[EXAM 3 INFO/LOGISTICS/ADVICE]

EXAM 3

11/12 Mon 5.1/5.2 [INDEFINITE-INT],[FINITE-SUMS],[RIEMANN] Antiderivatives: Def'n, Rules; Finite Sums, Riemann Sums
11/14 Wed 5.3/5.4 [RIEMANN], [F-T-C] Integration: 1st F-T-C, 2nd F-T-C
11/16 Fri 5.5 [INT-SUB] Integration: Substitution Method
11/19 Mon 5.5/5.6 [INT-SUB] Integration: Substitution Method; ODE's

11/21

Wed

****

****

****

<< NO CLASS >>

11/23

Fri

****

****

****

<< NO CLASS >>

11/26 Mon 5.7/5.8 M-V-T for Integrals, Avg Value, Numerical Integration
11/28 Wed EXAM 4 Review

11/30

Fri

[EXAM 4 INFO/LOGISTICS/ADVICE]

EXAM 4

12/03 Mon FINAL EXAM Review
12/05 Wed FINAL EXAM Review

12/07

Fri

****

****

****

FINAL EXAM

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