Mathematics 201-4: 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 11/16);
20% for the final Mon. 11/23, 2.15 - 4.15 pm.
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 (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
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.
11/18 for 11/20: Read (BA) Section 2.5.5.
Lesson summary
11/16 for 11/18: Read (BA) Sections 2.5.1-2; do (BA) Exercises 2.5.7: 1, 2, 3(d).
Lesson summary
Click here for the Third Graded Homework in Portable Document Format (due 11/16).
11/13 for 11/16: Read (BA) Section 2.4; do (BA) Exercises 2.4.1: 1, 4, 5.
Lesson summary
11/11 for 11/13: Read (BA) Sections 3.2.1-3; do (BA) Exercises 3.2.4: 1, 3, 5 (just prove continuity at x = 0).
Lesson summary
11/9 for 11/11: Read (BA) Section 2.2.1 and Prop. 2.2.5; do (BA) Exercises 2.2.5: 1, 2, 3, 5, 7.
Lesson summary
11/6 for 11/9: Complete reading of (BA) Section 2.1; do (BA) Exercises 2.1.4: 3, 4, 14, 15, 17.
Lesson summary
11/4 for 11/6: Read (BA) Section 2.1 through Section 2.1.1; do (BA) Exercises 2.1.4: 1, 2, 9, 10.
Lesson summary
Click here for Practice Test #2 in Portable Document Format
10/28 for 10/30: Read (BA) Section 1.3; do (BA) Exercises 1.3.1: 1, 2, 3, 7.
Lesson summary
10/26 for 10/28: Read (BA) Section 1.2.2; do (BA) Exercises 1.2.5: 1, 2, 8.
Lesson summary
10/23 for 10/26: 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
Click here for the Second Graded Homework
in Portable Document Format (due 10/23).
10/21 for 10/23: Read (BA) Section 1.1 to just before Definition 1.1.5; do (BA) Exercises 1.1.1: 2, 4, 6, 9.
Lesson summary
10/19 for 10/21: Read (BP) Section 14.3. (Section 13.3 in second or first edition!)
Lesson summary
10/16 for 10/19: 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
10/14 for 10/16: 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
10/9 for 10/12: 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
10/7 for 10/9: 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!)
Lesson summary
10/5 for 10/7: Read (BP) Section 10.1; do (BP) Exercises 10: 10, 18, 24, 34, using induction or otherwise.
Lesson summary
10/2 for 10/5: Read (BP) Chapter 10 through Prop. 10.1; do (BP) Exercises 10: 2, 4, 6, 8, 16, using induction or otherwise.
Lesson summary
9/30 for 10/2: 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!)
Lesson summary
Click here for Practice Test #1 in Portable Document Format
9/23 for 9/25: 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
9/21 for 9/23: Read (BP) Sections 8.1 to 8.3; do (BP) Exercises 8: 4, 6, 8, 20, 22.
Lesson summary
9/18 for 9/21: 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
Click here for the First Graded Homework
in Portable Document Format (due 9/18).
9/16 for 9/18: Read (BP) Sections 6.1, 6.2; do (BP) Exercises 6: 2, 6, 8, 10.
Lesson summary
9/14 for 9/16: Read (BP) Sections 5.1, 5.3; do (BP) Exercises 5: 2, 4, 6, 12, 16.
Lesson summary
9/11 for 9/14: Read (BP) Sections 4.4, 4.5; do (BP) Exercises 4: 14, 16, 18, 20, 26.
Lesson summary
9/9 for 9/11: Read (BP) Sections 4.1 to 4.3; do (BP) Exercises 4: 2, 4, 6, 10, 12.
Lesson summary
9/4 for 9/7: Read (BP) Section 2.10; do (BP) Exercises 2.10: 2, 4, 6, 8.
Lesson summary
9/2 for 9/4: Read (BP) Sections 2.7 to 2.9; do (BP) Exercises 2.7: 4, 8, 10; 2.9: 2, 4, 6, 10.
Lesson summary
8/31 for 9/2: Read (BP) Sections 2.5, 2.6; do (BP) Exercises 2.5: 10; 2.6: 6, 8, 12, 14.
Lesson summary
8/28 for 8/31: Read (BP) Sections 2.3, 2.4; do (BP) Exercises 2.3: 2, 4, 8, 10; 2.4: 2, 4.
Lesson summary
8/24 for 8/26: Read (BP) Sections 2.1, 2.2; do (BP) Exercises 2.2: 1, 3-5, 7-10.
Lesson summary
8/21 for 8/24: Read (BP) Section 1.8; do (BP) Exercises 1.8: 2, 4, 6, 9, 14.
Lesson summary
8/19 for 8/21: 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
8/17 for 8/19: 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.