## Mathematics 201-2: Introduction to Proofs

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

e-mail: jdhsmithATiastateDOTedu (substitute punctuation)

Office Hours: No physical hours. Please use e-mail for initial contact.

Grading: 80% for in-class assignments (at random times) and homework (last assignment due 4/26); 20% for the final Mon. 5/3, 9.45 - 11.45 am.

Textbooks:

Study Plan: Regular attendance and participation in class activities are the prerequisites for success. Except in extreme circumstances (such as those listed here), no accommodation can be given for failure to meet this responsibility. The definitive version of the material will be presented in class, not taken from the textbooks.

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.

CoViD-19 health and safety policies ;   Free expression statement ;

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.

4/26 for 4/28: Read (BA) Section 2.4; do (BA) Exercises 2.4.1: 1, 4, 5.
Lesson summary

4/23 for 4/26: Read (BA) Sections 3.2.1-3; do (BA) Exercises 3.2.4: 1, 3, 5 (just prove continuity at x = 0).
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4/21 for 4/23: Read (BA) Section 2.2.1 and Prop. 2.2.5; do (BA) Exercises 2.2.5: 1, 2, 3, 5, 7.
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4/19 for 4/21: Complete reading of (BA) Section 2.1; do (BA) Exercises 2.1.4: 3, 4, 14, 15, 22.
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4/12 for 4/14: Read (BA) Section 2.1 through Section 2.1.1; do (BA) Exercises 2.1.4: 1, 2, 9, 10.
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4/9 for 4/12: Read (BA) Section 1.3; do (BA) Exercises 1.3.1: 1, 2, 3, 7.
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4/7 for 4/9: Read (BA) Section 1.2.2; do (BA) Exercises 1.2.5: 1, 2, 8.
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4/5 for 4/7: 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.
Lesson summary

4/2 for 4/5: Read (BA) Section 1.1 to just before Definition 1.1.5; do (BA) Exercises 1.1.1: 2, 4, 6, 9.
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3/31 for 4/2: Read (BP) Section 14.3. (Section 13.3 in second or first edition!)
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3/29 for 3/31: Read (BP) Sections 14.1, 14.2; do (BP) Exercises 14.2: 2, 4, 6, 8. (Sections 13.1, 13.2, and Exercises 13.2 in second or first edition!)
Lesson summary

3/26 for 3/29: Read (BP) Sections 12.5, 14.1 (through Theorem 14.1); do (BP) Exercises 12.2: 9, 10; 12.5: 2, 6; 14.1: 4, 6, 8. (Section 13.1, Theorem 13.1 and Exercises 13.1 in second or first edition!)
Lesson summary

3/22 for 3/24: Read (BP) Sections 12.2, 12.4, 12.6; do (BP) Exercises 12.2: 2, 4; 12.4: 2, 6; 12.6: 2, 6.
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3/19 for 3/22: Read (BP) Sections 11.1, 11.6, 12.1; do (BP) Exercises 11.1: 2, 4, 12, 14; 12.1: 2, 4, 7, 8, 10. (Section 11.0, 11.5 and Exercises 11.0 in second or first edition!)
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3/17 for 3/19: Read (BP) Section 10.1; do (BP) Exercises 10: 10, 18, 24, 34, using induction or otherwise.
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3/15 for 3/17: Read (BP) Chapter 10 through Prop. 10.1; do (BP) Exercises 10: 2, 4, 6, 8, 16, using induction or otherwise.
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3/8 for 3/10: Read (BP) Section 3.6; do (BP) Exercises 3.6: 2, 4, 8, 10, 12. (Section 3.4 and Exercises 3.4 in second or first edition!)
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3/5 for 3/8: 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.
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3/3 for 3/5: Read (BP) Sections 8.1 to 8.3; do (BP) Exercises 8: 4, 6, 8, 20, 22.
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3/1 for 3/3: Read (BP) Section 7.1 (omitting final proposition) and Section 7.3 up to WARNING; do (BP) Exercises 7: 2, 4, 12, 18, 20.
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2/26 for 3/1: Read (BP) Sections 6.1, 6.2; do (BP) Exercises 6: 2, 6, 8, 10.
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2/24 for 2/26: Read (BP) Sections 5.1, 5.3; do (BP) Exercises 5: 2, 4, 6, 12, 16.
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2/22 for 2/24: Read (BP) Sections 4.4, 4.5; do (BP) Exercises 4: 14, 16, 18, 20, 26.
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2/19 for 2/22: Read (BP) Sections 4.1 to 4.3; do (BP) Exercises 4: 2, 4, 6, 10, 12.
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2/17 for 2/19: Read (BP) Section 2.10; do (BP) Exercises 2.10: 2, 4, 6, 8.
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NO CLASS 2/15!

2/10 for 2/12: Read (BP) Sections 2.7 to 2.9; do (BP) Exercises 2.7: 4, 8, 10; 2.9: 2, 4, 6, 10.
Lesson summary

2/8 for 2/10: Read (BP) Sections 2.5, 2.6; do (BP) Exercises 2.5: 10; 2.6: 6, 8, 12, 14.
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2/5 for 2/8: Read (BP) Sections 2.3, 2.4; do (BP) Exercises 2.3: 2, 4, 8, 10; 2.4: 2, 4.
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2/3 for 2/5: Read (BP) Sections 2.1, 2.2; do (BP) Exercises 2.2: 1, 3-5, 7-10.
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1/29 for 2/1: Read (BP) Section 1.8; do (BP) Exercises 1.8: 2, 4, 6, 9, 14.
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1/27 for 1/29: 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.
Lesson summary

1/25 for 1/27: Read (BP) Sections 1.1, 1.2; do (BP) Exercises 1.1: 1-4, 17-20, 30-33, 40, 42, 44; 1.2: 1, 3, 10, 12, 20.
Lesson summary