Time/Location: MWF 11:30-12:25, Caldwell Laboratory 0177
Instructor: Hsian-Hua Tseng
Office: 642 Math Tower
Office Phone: 614-292-5581
E-mail: hhtseng-at-math-dot-ohio-state-dot-edu
Office Hours: MW 12:25-1:25pm, or by appointment.
Textbook: The Fundamentals of Higher Mathematics by N. Falkner (available at OSU bookstores, Barnes & Noble, and SBX). Since many revisions have been made in the past summer, be sure to acquire the lastest edition designed for the semester-long course.
Description: The main goal of this course is to help you learn the fundamentals of how to read and write mathematical proofs. Topics to be covered in this course includes basics of mathematical logic, methods of mathematical proofs, theory of sets, etc. We will closely follow the textbook.
Grading: Weekly Homework (35%) + Midterm 1 (15%) + Midterm 2 (15%) + Final exam (35%).
Midterm 1: October 1 (Monday), in class. The exam covers everything discussed until the September 24 lecture (inclusive), including Homework 1, 2, 3, 4. Solutions.
Midterm 2: November 5 (Monday), in class. The exam covers everything discussed until the October 29 lecture (inclusive), including Homework 1, 2, 3, 4, 5, 6, 7, 8, 9. Solutions.
Final Exam: December 10 (Monday), 12:00pm-1:45pm. The exam covers everything discussed, including homeworks and past exams. See here for exam scheduling.
Homework Assignments: updated periodically.
Homework 1 (due September 5): Chapter 1, Section 2, Exercise 1, 2, 3, 5, 6, 7. Solutions.
Homework 2 (due September 12): Chapter 1, Section 2, Exercise 8, 9, 10, 11, 14, 15, 17. Solutions.
Homework 3 (due September 19): Chapter 1, Section 2, Exercise 20, 22, 24 and Section 3, Exercise 1(e-k), 2, 4, 5, 7. Solutions.
Homework 4 (due September 26): Chapter 1, Section 3, Exercise 9, 10, 14 and Chapter 2, Section 4, Exercise 1, 2, 3, 5, 6, 7. Solutions.
Homework 5 (due October 3): Chapter 2, Section 4, Exercise 8, 9, 10, 12. Solutions,
Homework 6 (due October 10): Chapter 2, Section 4, Exercise 13, 14, 15, 17, 25, 26 and Section 5 Exercise 3. Solutions.
Homework 7 (due October 17): Chapter 2, Section 5, Exercise 5, 6, 11, 12, 13, 14, 15, 17(a). Solutions.
Homework 8 (due October 24): Chapter 2, Section 6, Exercise 2, 3, 4, 5, 6 and Section 7 Exercise 1. Solutions.
Homework 9 (due October 31): Chapter 2, Section 7, Exercise 2, 3, 4 and Chapter 3, Section 10, Exercise 5, 6, 10, 11, 12. Solutions (Correction: in 4(b), 4 *is* an S-prime).
Homework 10 (due November 7): Chapter 3, Section 10, Exercise 14, 15, 16. Solutions.
Homework 11 (due November 14): Chapter 3, Section 10, Exercise 18, 19, 20, 24, and Section 11 Exercise 12, 13(a). Solutions.
Homework 12 (due November 28): Chapter 3, Section 11, Exercise 20, 22, 23, and Section 14, Exercise 1, 2. Solutions.
Homework 13 (due never): Chapter 3, Section 15, Exercise 1, 2, 5, 6, 7, 8, 9. Solutions.