Mathematics 201A: Introduction to ProofsInstructor: 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).
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.
Syllabus: Sets, logic, proofs in algebra and calculus. AssignmentsClick here for Practice Final in Portable Document FormatClick here for the Third Graded Homework in Portable Document Format (due 4/27). 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). Click here for Practice Test #2 in Portable Document Format 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). Click here for Practice Test #1 in Portable Document Format 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). |