## Mathematics 201A: Introduction to Proofs

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

e-mail: jdhsmithATiastateDOTedu (substitute punctuation)

Office Hours: Mon. 11 am, 3.10 pm; Wed., Fri. 11 am (subject to change).

Special office hour Monday, 5/4, 1.30-2.30pm.

Grading: 80% for in-class assignments (at random times), homework (last assignment due 4/27), and class participation; 20% for the final, Tue 5/5, 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

4/24 for 4/27: Read (BA) Sections 2.5.3, 2.5.5; do (BA) Exercises 2.5: 3(a)(b), 8 (p.81).

4/22 for 4/24: Read (BA) Sections 2.5.1-2; do (BA) Exercises 2.5: 1, 2, 3(d) (p.81).

4/20 for 4/22: Read (BA) Section 2.4; do (BA) Exercises 2.4: 1, 2, 4, 5 (p.71).

4/17 for 4/20: Read (BA) Sections 3.2.1-3; do (BA) Exercises 3.2: 1, 3, 5 (prove continuity at x = 0), (p.108).

4/15 for 4/17: Read (BA) Section 2.2.1 and Prop. 2.2.5; do (BA) Exercises 2.2: 1, 2, 3, 5, 7 (p.60).

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

4/6 for 4/8: Read (BA) Section 2.1 through Section 2.1.1; do (BA) Exercises 2.1: 1, 2, 9, 10 (pp.49-50).

4/3 for 4/6: Read (BA) Section 1.3; do (BA) Exercises 1.3: 1, 2, 3, 5 (p.34).

4/1 for 4/3: Read (BA) Section 1.2.2; do (BA) Exercises 1.2: 1, 2, 8 (p.30).

3/30 for 4/1: Read (BA) Sections 1.2.1 (not proof of Ex. 1.2.3), 1.2.3, 1.2.4; do (BA) Exercises 1.2: 4, 7, 9 (p.30).

3/27 for 3/30: Read (BA) Section 1.1; do (BA) Exercises 1.1: 1, 2, 4, 6, 9 (p.24).

3/25 for 3/27: Read (BP) Section 13.3; do the Second Graded Homework.

3/23 for 3/25: Read (BP) Sections 13.1, 13.2; do (BP) Exercises 13.2: 2, 4, 6, 8 (p.226).

3/13 for 3/23: 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, 10 (p.220).

3/11 for 3/13: 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).

3/9 for 3/11: 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).

3/4 for 3/6: Read (BP) Section 10.1; do (BP) Exercises 10: 10, 18, 22, 24 (pp.167-8), using induction or otherwise.

3/2 for 3/4: Read (BP) Chapter 10 through p.158; do (BP) Exercises 10: 2, 4, 6, 8, 16 (pp.167-8), using induction or otherwise.

2/27 for 3/2: Read (BP) Section 3.4; do (BP) Exercises 3.4: 2, 4, 8, 10, 12 (p.78).

2/20 for 2/23: Read (BP) Chapter 9; do (BP) Exercises 9: 4, 12, 16, 28, 30, 34 (p.151).

2/18 for 2/20: Read (BP) Sections 8.1 to 8.3; do (BP) Exercises 8: 4, 6, 8, 20, 22 (p.143).

2/16 for 2/18: Read (BP) Chapter 7; do (BP) Exercises 7: 2, 4, 12, 18, 20 (p.127).

2/13 for 2/16: Read (BP) Sections 6.1, 6.2; do (BP) Exercises 6: 2, 6, 8, 10 (p.116).
Also, do the First Graded Homework.

2/11 for 2/13: Read (BP) Sections 5.1, 5.3; do (BP) Exercises 5: 2, 4, 6, 12, 16 (p.108).

2/9 for 2/11: Read (BP) Sections 4.4, 4.5; do (BP) Exercises 4: 14, 16, 18, 20, 26 (pp.98-9).

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

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

1/30 for 2/2: 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).

1/28 for 1/30: Read (BP) Sections 2.5, 2.6; do (BP) Exercises 2.5: 10 (p.46); 2.6: 6, 8, 12, 14 (p.49).

1/26 for 1/28: Read (BP) Sections 2.3, 2.4; do (BP) Exercises 2.3: 2, 4, 8, 10 (p.42); 2.4: 2, 4 (p.44).

1/23 for 1/26: Read (BP) Sections 2.1, 2.2; do (BP) Exercises 2.2: 1, 3-5, 7-10. (p.39).

1/16 for 1/21: Read (BP) Section 1.8; do (BP) Exercises 1.8: 2, 6, 9, 14 (p.27).

1/14 for 1/16: 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).

1/12 for 1/14: 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).