Mathematics 2010-1: Introduction to Proofs
Instructor: Jonathan Smith, 496 Carver, 4-8172 (voice mail)
e-mail: jdhsmithATiastateDOTedu (substitute punctuation)
Office Hours: Mon. 8:50 - 9:40 am; Wed. 8:50 - 9:40 am; Fri. 8:50 - 9:40 am, 3:20 - 4:10 pm (subject to change).
Academic grade points: 80% for in-class assignments and homework (last assignment due 5/5); 20% for the final Thu. 5/15, 7:30 - 9:30am. Additional points for attendance.
Accessibility statement;
Free expression statement.
Class absence memo.
Textbooks:
Study Plan: Regular attendance, fullfilment of homework assignments, and active participation in class are the prerequisites for success. Except in extreme circumstances, no accommodation can be given for failure to meet these responsibilities. The definitive version of the material will be presented in class; it may not be the version in the textbooks. Taking notes in class is strongly recommended. In general, neither passive lecture attendance nor video-watching are helpful for this class.
Prime Learning Objective: To understand that "If you are unsure about the correctness of a solution, then you do not yet have a solution." [Lebl, https://www.jirka.org/ra/]
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. The day-to-day assignments, referring to reading sections and exercises from the textbooks, are for completion singly or in self-organized groups between successive classes, ready for active discussion in class on the target date. Each assigned problem should be attempted.
3/10 for 3/12: Read (BP) Chapter 10 through Prop. 10.1; do (BP) Exercises 10: 2, 4, 6, 8, 16, using induction or otherwise.
Lesson summary
Click here for Practice Test #1 in Portable Document Format
3/3 for 3/5: Read (BP) Section 3.6; do (BP) Exercises 3.6: 2, 4, 8, 10, 12.
Lesson summary
2/28 for 3/3: 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
2/26 for 2/28: Read (BP) Sections 8.1 to 8.3; do (BP) Exercises 8: 4, 6, 8, 20, 22.
Lesson summary
Click here for the First Graded Homework in Portable Document Format (due 2/26).
2/24 for 2/26: 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
2/21 for 2/24: Read (BP) Sections 6.1, 6.2; do (BP) Exercises 6: 2, 6, 8, 10.
Lesson summary
2/19 for 2/21: Read (BP) Sections 5.1, 5.3; do (BP) Exercises 5: 2, 4, 6, 12, 16.
Lesson summary
2/17 for 2/19: Read (BP) Sections 4.4, 4.5; do (BP) Exercises 4: 14, 16, 18, 20, 26.
Lesson summary
2/14 for 2/17: Read (BP) Sections 4.1 to 4.3; do (BP) Exercises 4: 2, 4, 6, 10, 12.
Lesson summary
2/10 for 2/12: Read (BP) Section 2.10; do (BP) Exercises 2.10: 2, 4, 6, 8.
Lesson summary
2/7 for 2/10: Read (BP) Sections 2.7 to 2.9; do (BP) Exercises 2.7: 4, 8, 10; 2.9: 2, 4, 6, 10.
Lesson summary
2/5 for 2/7: Read (BP) Sections 2.5, 2.6; do (BP) Exercises 2.5: 10; 2.6: 6, 8, 12, 14.
Lesson summary
2/3 for 2/5: Read (BP) Sections 2.3, 2.4; do (BP) Exercises 2.3: 2, 4, 8, 10; 2.4: 2, 4.
Lesson summary
1/31 for 2/3: Read (BP) Sections 2.1, 2.2; do (BP) Exercises 2.2: 1, 3-5, 7-10.
Lesson summary
1/27 for 1/29: Read (BP) Section 1.8; do (BP) Exercises 1.8: 2, 4, 6, 9, 14.
Lesson summary
1/24 for 1/27: 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
1/22 for 1/24: Read (BP) Sections 1.1, 1.2; do (BP) Exercises 1.1: 1-4, 17-20 (write in mixed notation!), 30-33, 40, 42, 44; 1.2: 1, 3, 10, 12, 20.
Lesson summary
Link to syllabi of previous semesters.