Mathematics 201-1: Introduction to Proofs
Instructor: Jonathan Smith, 496 Carver, 4-8172 (voice mail)
e-mail: jdhsmithATiastateDOTedu (substitute punctuation)
Office Hours: M 9:55 am, 2 pm, 3 pm; F 9:55 am (subject to change).
Finals Week Office Hours: Wed. 1:30 - 3 pm.
Grading: 80% for in-class assignments (at random times)
and homework (last assignment due 5/1);
20% for the final Thu. 5/11, 7:30 - 9:30 am.
Click here for the accessibility statement.
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. 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.
Public health recommendations
;
Free expression statement
;
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.
5/1 for 5/3: Read (BA) Example 2.5.11.
Lesson summary
Click here for the Third Graded Homework
in Portable Document Format (due 5/1).
4/28 for 5/1: Read (BA) Section 2.5.5.
Lesson summary
4/26 for 4/28: Read (BA) Sections 2.5.1-2; do (BA) Exercises 2.5.7: 1, 2, 3(d).
Lesson summary
4/24 for 4/26: Read (BA) Section 2.4; do (BA) Exercises 2.4.1: 1, 4, 5.
Lesson summary
4/21 for 4/24: Read (BA) Sections 3.2.1-3; do (BA) Exercises 3.2.4: 1, 3, 5 (just prove continuity at x = 0).
Lesson summary
4/19 for 4/21: Read (BA) Section 2.2.1 and Prop. 2.2.5; do (BA) Exercises 2.2.5: 1, 2, 3, 5, 7.
Lesson summary
Click here for Practice Test #2 in Portable Document Format
4/12 for 4/14: Complete reading of (BA) Section 2.1; do (BA) Exercises 2.1.4: 3, 4, 14, 15, 22.
Lesson summary
4/10 for 4/12: Read (BA) Section 2.1 through Section 2.1.1; do (BA) Exercises 2.1.4: 1, 2, 9, 10.
Lesson summary
4/7 for 4/10: Read (BA) Section 1.3; do (BA) Exercises 1.3.1: 1, 2, 3, 7.
Lesson summary
4/5 for 4/7: Read (BA) Section 1.2.2; do (BA) Exercises 1.2.5: 1, 2, 8.
Lesson summary
4/3 for 4/5: 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
3/31 for 4/3: Read (BA) Section 1.1 to just before Definition 1.1.5; do (BA) Exercises 1.1.1: 2, 4, 6, 9.
Lesson summary
Click here for the Second Graded Homework
in Portable Document Format (due 4/5).
3/29 for 3/31: Read (BP) Section 14.3.
Lesson summary
3/27 for 3/29: Read (BP) Sections 14.1, 14.2; do (BP) Exercises 14.2: 2, 4, 6, 8.
Lesson summary
3/24 for 3/27: 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.
Lesson summary
3/20 for 3/22: Read (BP) Sections 12.2, 12.4, 12.6; do (BP) Exercises 12.2: 2, 4; 12.4: 2, 6; 12.6: 2, 6.
Lesson summary
3/10 for 3/20: 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.
Lesson summary
3/8 for 3/10: Read (BP) Section 10.1; do (BP) Exercises 10: 10, 18, 24, 34, using induction or otherwise.
Lesson summary
3/6 for 3/8: Read (BP) Chapter 10 through Prop. 10.1; do (BP) Exercises 10: 2, 4, 6, 8, 16, using induction or otherwise.
Lesson summary
3/3 for 3/6: Read (BP) Section 3.6; do (BP) Exercises 3.6: 2, 4, 8, 10, 12.
Lesson summary
Click here for Practice Test #1 in Portable Document Format
2/24 for 2/27: 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.
Lesson summary
2/22 for 2/24: Read (BP) Sections 8.1 to 8.3; do (BP) Exercises 8: 4, 6, 8, 20, 22.
Lesson summary
2/20 for 2/22: Read (BP) Section 7.1 (omitting final proposition)
and Section 7.3 up to WARNING; do (BP) Exercises 7: 2, 4, 12, 18, 20.
Lesson summary
2/17 for 2/20: Read (BP) Sections 6.1, 6.2; do (BP) Exercises 6: 2, 6, 8, 10.
Lesson summary
Click here for the First Graded Homework
in Portable Document Format (due 2/17).
2/15 for 2/17: Read (BP) Sections 5.1, 5.3; do (BP) Exercises 5: 2, 4, 6, 12, 16.
Lesson summary
2/13 for 2/15: Read (BP) Sections 4.4, 4.5; do (BP) Exercises 4: 14, 16, 18, 20, 26.
Lesson summary
2/10 for 2/13: Read (BP) Sections 4.1 to 4.3; do (BP) Exercises 4: 2, 4, 6, 10, 12.
Lesson summary
2/6 for 2/8: Read (BP) Section 2.10; do (BP) Exercises 2.10: 2, 4, 6, 8.
Lesson summary
2/3 for 2/6: Read (BP) Sections 2.7 to 2.9; do (BP) Exercises 2.7: 4, 8, 10; 2.9: 2, 4, 6, 10.
Lesson summary
2/1 for 2/3: Read (BP) Sections 2.5, 2.6; do (BP) Exercises 2.5: 10; 2.6: 6, 8, 12, 14.
Lesson summary
1/30 for 2/1: Read (BP) Sections 2.3, 2.4; do (BP) Exercises 2.3: 2, 4, 8, 10; 2.4: 2, 4.
Lesson summary
1/25 for 1/27: Read (BP) Sections 2.1, 2.2; do (BP) Exercises 2.2: 1, 3-5, 7-10.
Lesson summary
1/23 for 1/25: Read (BP) Section 1.8; do (BP) Exercises 1.8: 2, 4, 6, 9, 14.
Lesson summary
1/20 for 1/23: 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
1/18 for 1/20: 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
Link to syllabi of previous semesters.