Mathematical Analysis Daily Schedule Term 6

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See also Daily Schedule Term 5

Note: All page numbers, equations, and problem numbers refer to the 3rd Edition of Calculus by Michael Spivak or to the 2nd Edition of What is Mathematics? by Courant and Robbins.

Week 8 — Chapter 6 — Start Continuous Functions

• Thursday, May 13 — Finish reading Chapter 6 — Problem Set 8

Week 9 — Consolidate Chapters 5 and 6 — Start Chapter 7 — Three Hard Theorems

• Monday, May 17 — For Monday, May 17
• Thursday, May 20 — Read Chapter 7, pp. 120-123 (through Theorem 8) — Problem Set 9

Week 10 — Chapter 8 — Least Upper Bounds

• Monday, May 24 — Finish Reading Chapter 7 — Problem Set 10: Chapter 7, Problem 1 parts (i)-(vi) only, Problems, 2, 3, and 10 — In-Class: Chapter 6, Problem 15, and Chapter 7, Problem 11
• Thursday, May 27 — Read Chapter 8 through to the proof of Theorem 7-3 which ends at the top of p. 136 — In-Class: Chapter 8, Problem 1

Week 11 — Uniform Continuity — Special Topic Derivatives and Integrals

• Monday, May 31 — Finish Reading Chapter 8 including reading the appendix up to the boxed definition of uniform continuity on page 149. — Begin our Special Topic (Chapter 9) up to the boxed definition of differentiability and the derivative. — Problem Set 11
• Thursday, June 3 — Continue with our study of the derivative by reading through to the bottom of p. 156. — Problem Set 12 with Drag Racer worksheet

Week 12 — Finish Derivatives and Integrals — Start Complex Numbers

• Monday, June 7 — Finish Chapter 9 of Spivak and the Drag Racer Integrals worksheet — Mass on a spring example from physics — In-Class Chapter 9, Problems 8(a), 8(b), 9(a), and 11
• Thursday, June 10 — Read Courant & Robbins, Section II.5.1 — The Origin of the Complex Numbers — Problem Set 13 all four exercises in Section II.5.1

Week 13 — Continue Complex Numbers and Final

• Monday, June 14 — Read Courant & Robbins, Section II.5.2 — The Geometrical Interpretation of Complex Numbers — Problem Set 13
• Thursday, June 17 — Final

Week 14 — Finish Complex Numbers

• Monday, June 21 — Read Courant & Robbins, Section II.5.3 — The Roots of Unity
• Thursday, June 24 — Read Courant & Robbins, Section II.5.4 — The Fundamental Theorem of Algebra — Things to consider when reading the proof of The Fundamental Theorem of Algebra