M201A: Introduction to proofs

Mathematics 201A: Introduction to Proofs

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

e-mail: jdhsmithATiastateDOTedu (substitute punctuation)

Office Hours: Mon. 12.10 - 1 pm, 3.10 - 4 pm; Wed. 12.10 - 1 pm; Fri. 12.10 - 1 pm (subject to change).

Special Office Hours: Fri. 4/27, 3.10 - 4 pm; Mon. 4/30, 1.10 - 2 pm.

Grading: 80% for in-class assignments (at random times), homework (last assignment due 4/23); 20% for the final, Mon. 4/30, 9.45 - 11.45 am.

Click here for information about special accommodations.

Click here for tally of points earned.

Textbooks:

(BP) R. Hammack, Book of Proof, 2nd. ed. ISBN 978-0-9894721-0-4.
(BA) J. Lebl, Basic Analysis: Introduction to Real Analysis, Volume I.

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.

Additional Mathematics course policies

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

Assignments

Note: In these assignments, (BP) and (BA) refer to the versions of the textbooks from the links above.

Click here for the Practice Final in Portable Document Format.

Click here for the Third Graded Homework in Portable Document Format (due 4/23).

4/20 for 4/23: Read (BA) Prop. 2.5.14; do (BA) Exercises 2.5.7: 3(a), (b).

4/18 for 4/20: Read (BA) Sections 2.5.1-2; do (BA) Exercises 2.5.7: 1, 2, 3(d).

4/16 for 4/18: Read (BA) Section 2.4; do (BA) Exercises 2.4.1: 1, 4, 5.

4/13 for 4/16: Read (BA) Sections 3.2.1-3; do (BA) Exercises 3.2.4: 1, 3, 5 (just prove continuity at x = 0).

4/11 for 4/13: Read (BA) Section 2.2.1 and Prop. 2.2.5; do (BA) Exercises 2.2.5: 1, 2, 3, 5, 7.

4/9 for 4/11: Complete reading of (BA) Section 2.1; do (BA) Exercises 2.1.4: 3, 4, 13, 14, 15, 17.

4/6 for 4/9: Read (BA) Section 2.1 through Section 2.1.1; do (BA) Exercises 2.1.4: 1, 2, 9, 10.

Click here for Practice Test #2 in Portable Document Format

3/30 for 4/2: Read (BA) Section 1.3; do (BA) Exercises 1.3.1: 1, 2, 3, 7.

3/28 for 3/30: Read (BA) Section 1.2.2; do (BA) Exercises 1.2.5: 1, 2, 8.

3/26 for 3/28: 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.

3/23 for 3/26: Read (BA) Section 1.1 to just before Definition 1.1.5; do (BA) Exercises 1.1.1: 2, 4, 6, 9.

Click here for the Second Graded Homework in Portable Document Format (due 3/23).

3/21 for 3/23: Read (BP) Section 13.3.

3/19 for 3/21: Read (BP) Sections 13.1, 13.2; do (BP) Exercises 13.2: 2, 4, 6, 8.

3/9 for 3/19: Read (BP) Sections 12.5, 13.1 (through Theorem 13.1); do (BP) Exercises 12.2: 9, 10; 12.5: 2, 6; 13.1: 4, 6, 8.

3/7 for 3/9: Read (BP) Sections 12.2, 12.4, 12.6; do (BP) Exercises 12.2: 2, 4; 12.4: 2, 6; 12.6: 2, 6.

3/2 for 3/5: Read (BP) Sections 11.0, 11.5, 12.1; do (BP) Exercises 11.0: 2, 4, 12, 14; 12.1: 2, 4, 7, 8, 10.

2/28 for 3/2: Read (BP) Section 10.1; do (BP) Exercises 10: 10, 18, 24, 34, using induction or otherwise.

2/26 for 2/28: Read (BP) Chapter 10 through Prop. 10.1; do (BP) Exercises 10: 2, 4, 6, 8, 16, using induction or otherwise.

2/23 for 2/26: Read (BP) Section 3.4; do (BP) Exercises 3.4: 2, 4, 8, 10, 12.

Click here for Practice Test #1 in Portable Document Format

2/16 for 2/19: Read (BP) Chapter 9 [but avoid disconnected inequalities like those in Examples 9.3 and 9.5]; do (BP) Exercises 9: 4, 12, 16, 28, 30, 34.

2/14 for 2/16: Read (BP) Sections 8.1 to 8.3; do (BP) Exercises 8: 4, 6, 8, 20, 22.

Click here for the First Graded Homework in Portable Document Format (due 2/14).

2/12 for 2/14: Read (BP) Section 7.1 (omitting final proposition) and Section 7.3 up to WARNING; do (BP) Exercises 7: 2, 4, 12, 18, 20.

2/9 for 2/12: Read (BP) Sections 6.1, 6.2; do (BP) Exercises 6: 2, 6, 8, 10.

2/7 for 2/9: Read (BP) Sections 5.1, 5.3; do (BP) Exercises 5: 2, 4, 6, 12, 16.

2/2 for 2/5: Read (BP) Sections 4.4, 4.5; do (BP) Exercises 4: 14, 16, 18, 20, 26.

1/31 for 2/2: Read (BP) Sections 4.1 to 4.3; do (BP) Exercises 4: 2, 4, 6, 10, 12.

1/29 for 1/31: Read (BP) Section 2.10; do (BP) Exercises 2.10: 2, 4, 6, 8.

1/26 for 1/29: Read (BP) Sections 2.7 to 2.9; do (BP) Exercises 2.7: 4, 8, 10; 2.9: 2, 4, 6, 10.

1/24 for 1/26: Read (BP) Sections 2.5, 2.6; do (BP) Exercises 2.5: 10; 2.6: 6, 8, 12, 14.

1/22 for 1/24: Read (BP) Sections 2.3, 2.4; do (BP) Exercises 2.3: 2, 4, 8, 10; 2.4: 2, 4.

1/19 for 1/22: Read (BP) Sections 2.1, 2.2; do (BP) Exercises 2.2: 1, 3-5, 7-10.

1/12 for 1/17: Read (BP) Section 1.8; do (BP) Exercises 1.8: 2, 4, 6, 9, 14.

1/10 for 1/12: Read (BP) Sections 1.3 to 1.7; do (BP) Exercises 1.3: 2, 4, 10; 1.4: 4, 5; 1.5: 2(a)-(c), 4(f)(g)(h); 1.6: 2(a),(f),(g); 1.7: 10, 12.

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