Mathematical Analysis

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Daily Schedule Term 5

See also Daily Schedule Term 4

Week 8 — Properties of Continuous Functions — Start Least Upper Bounds

• Monday, March 17 — Reading: Study the first eight theorems in Chapter 7 (note that the proofs of the first three theorems are deferred until Chapter 8) — Problem Set 11: Chapter 7, Problems 1-3

Plans for upcoming classes are subject to adjustment, depending especially on the actual pace of the previous classes.

• Thursday, March 20 — Reading: Finish studying Chapter 7 and start Chapter 8 — Problem Set 12: TBD

Week 9 — Finish Least Upper Bounds

• Monday, March 24 — Reading: Continue Chapter 8
• Thursday, March 27 — Reading: Finish Chapter 8

Week 10 — Exam 2 — Start Derivatives

• Monday, March 31 — Exam 2
• Thursday, April 3 — Reading: Start Chapter 9

Week 11 — Finish Derivatives — Start Differentiation

• Monday, April 7 — Reading: Finish Chapter 9
• Thursday, April 10 — Reading: Start Chapter 10

Week 12 — Finish Differentiation — Significance of the Derivative

• Monday, April 14 — Reading: Finish Chapter 10
• Thursday, April 17 — Reading: Chapter 11

In the interest of getting to The Fundamental Theorem of Calculus, I am proposing to skip Chapter 12 on inverse functions and go straight to Chapter 13 on integrals.

Week 13 — Integrals

• Monday, April 21 — Reading: Start Chapter 13
• Thursday, April 24 — Reading: Finish Chapter 13

Week 14 The Fundamental Theorem of Calculus — Exam 3

• Monday, April 28 — Reading: Chapter 14
• Thursday, May 1 — Exam 3