## Mathematics 201C: Introduction to Proofs

Instructor: Jonathan Smith, 496 Carver, 4-8172 (voice mail)

e-mail: jdhsmithATiastateDOTedu (substitute punctuation)

Office Hours: Mon. 10 - 10.50 am, 3.10 - 4 pm; Wed. 10 - 10.50 am; Fri. 10 - 10.50 am (subject to change).

Grading: 80% for in-class assignments (at random times), homework (last assignment due 12/5); 20% for the final, Thu., 12/15, 9.45-11.45 am.

Textbooks:

Study Plan: Regular attendance and participation in class activities are the prerequisites for success. Except in extreme circumstances, no accommodation can be given for failure to meet this responsibility.

Assignments will be given regularly. They will not be graded each week, but it is absolutely essential to solve each homework problem in order to understand the material and develop the necessary skills.

Communication devices must remain switched off during the class periods and final.

Syllabus: Sets, logic, proofs in algebra and calculus.

### Assignments

12/5 for 12/7: Read (BA) Prop. 2.5.14; do (BA) Exercises 2.5: 3(a), (b) (p.81).

12/2 for 12/5: Read (BA) Sections 2.5.1-2; do (BA) Exercises 2.5: 1, 2, 3(d) (p.81).

11/30 for 12/2: Read (BA) Section 2.4; do (BA) Exercises 2.4: 1, 4, 5 (p.71).

11/28 for 11/30: Read (BA) Sections 3.2.1-3; do (BA) Exercises 3.2: 1, 3, 5 (just prove continuity at x = 0), (p.108).

11/18 for 11/28: Read (BA) Section 2.2.1 and Prop. 2.2.5; do (BA) Exercises 2.2: 1, 2, 3, 5, 7 (p.60).

11/16 for 11/18: Complete reading of (BA) Section 2.1; do (BA) Exercises 2.1: 3, 4, 13, 14, 15, 17 (pp.49-50).

11/14 for 11/16: Read (BA) Section 2.1 through Section 2.1.1; do (BA) Exercises 2.1: 1, 2, 9, 10 (pp.49-50).

11/7 for 11/9: Read (BA) Section 1.3; do (BA) Exercises 1.3: 1, 2, 3, 7 (p.34).

11/4 for 11/7: Read (BA) Section 1.2.2; do (BA) Exercises 1.2: 1, 2, 8 (p.30).

11/2 for 11/4: Read (BA) Sections 1.2.1 (not proof of Ex. 1.2.3), 1.2.3, 1.2.4; do (BA) Exercises 1.2.5: 4, 7, 9 (p.30).

10/31 for 11/2: Read (BA) Section 1.1 to just before Definition 1.1.5; do (BA) Exercises 1.1.1: 2, 4, 6, 9 (p.24).

10/28 for 10/31: Read (BP) Section 13.3.

10/26 for 10/28: Read (BP) Sections 13.1, 13.2; do (BP) Exercises 13.2: 2, 4, 6, 8 (p.226).

10/24 for 10/26: Read (BP) Sections 12.5, 13.1 (through Theorem 13.1); do (BP) Exercises 12.2: 9, 10 (p.202); 12.5: 2, 6 (p.212); 13.1: 4, 6, 8 (p.220).

10/21 for 10/24: Read (BP) Sections 12.2, 12.4, 12.6; do (BP) Exercises 12.2: 2, 4 (p.202); 12.4: 2, 6 (p.208); 12.6: 2, 6 (p.214).

10/19 for 10/21: Read (BP) Sections 11.0, 12.1; do (BP) Exercises 11.0: 2, 4, 12, 14 (p.176); 12.1: 2, 4, 8, 10 (pp.198-199).

10/14 for 10/17: Read (BP) Section 10.1; do (BP) Exercises 10: 10, 18, 22, 24 (pp.167-8), using induction or otherwise.

10/12 for 10/14: Read (BP) Chapter 10 through p.158; do (BP) Exercises 10: 2, 4, 6, 8, 16 (pp.167-8), using induction or otherwise.

10/10 for 10/12: Read (BP) Section 3.4; do (BP) Exercises 3.4: 2, 4, 8, 10, 12 (p.78).

10/3 for 10/5: Read (BP) Chapter 9; do (BP) Exercises 9: 4, 12, 16, 28, 30, 34 (p.151).

9/30 for 10/3: Read (BP) Sections 8.1 to 8.3; do (BP) Exercises 8: 4, 6, 8, 20, 22 (p.143).

9/28 for 9/30: Complete reading of (BP) Chapter 7; do (BP) Exercises 7: 16, 28 (pp.127-8).

9/26 for 9/28: Read (BP) Chapter 7 through p.123; do (BP) Exercises 7: 2, 4, 12, 18, 20 (p.127).

9/23 for 9/26: Read (BP) Sections 6.1, 6.2; do (BP) Exercises 6: 2, 6, 8, 10 (p.116).

9/21 for 9/23: Read (BP) Sections 5.1, 5.3; do (BP) Exercises 5: 2, 4, 6, 12, 16 (p.108).

9/19 for 9/21: Read (BP) Sections 4.4, 4.5; do (BP) Exercises 4: 14, 16, 18, 20, 26 (pp.98-9).

9/16 for 9/19: Read (BP) Sections 4.1 to 4.3; do (BP) Exercises 4: 2, 4, 6, 10, 12 (p.98).

9/12 for 9/14: Read (BP) Section 2.10; do (BP) Exercises 2.10: 2, 4, 6, 8 (pp.58-9).

9/9 for 9/12: Read (BP) Sections 2.7 to 2.9; do (BP) Exercises 2.7: 4, 8, 10 (p.51); 2.9: 2, 4, 6, 10 (p.55).

9/7 for 9/9: Read (BP) Sections 2.5, 2.6; do (BP) Exercises 2.5: 10 (p.46); 2.6: 6, 8, 12, 14 (p.49).

9/2 for 9/7: Read (BP) Sections 2.3, 2.4; do (BP) Exercises 2.3: 2, 4, 8, 10 (p.42); 2.4: 2, 4 (p.44).

8/31 for 9/2: Read (BP) Sections 2.1, 2.2; do (BP) Exercises 2.2: 1, 3-5, 7-10. (p.39).

8/26 for 8/29: Read (BP) Section 1.8; do (BP) Exercises 1.8: 2, 4, 6, 9, 14 (p.27).

8/24 for 8/26: Read (BP) Sections 1.3 to 1.7; do (BP) Exercises 1.3: 2, 4, 10 (p.14); 1.4: 4, 5 (p.16); 1.5: 2(a)-(c), 4(f)(g)(h) (p.18); 1.6: 2(a),(f),(g) (p.20); 1.7: 10, 12 (p.23).

8/22 for 8/24: Read (BP) Sections 1.1, 1.2; do (BP) Exercises 1.1: 1-4, 17-20, 30-33, 39, 41, 43 (p.7); 1.2: 1, 3, 10, 12, 20 (p.10).