Math 3345 - Foundations of higher Mathematics

Instructor: Hoi H. Nguyen.

Email: nguyen.1261@math.osu.edu, phone: (614) 292-2789, office: Mathematics Tower MW 446.

Course meetings: MWF: Session I: 11:30 am-12:25 pm and Session II: 12:40pm-1:35pm both in Dreeese Lab 317 .

Office hours: WF 9:30 am-11:00 am.

Prerequisites: Major or minor in Math, CSE, or CIS. Math: C- or better in 2153, 2162.xx, 2173, or 2182H; or credit for 254.xx, 263.xx or 263.01H. CIS or CSE: C- or better in both CSE 2321 and: C- or better in 1152, 1161.xx, 1172, 1181H, 1534, or 1544; or credit for 153.xx, 154, 162.xx, or 162.01H. Exclusions: Not open to students with credit for 345.

Textbook : The Fundamentals of Higher Mathematics , Lecture notes by Neil Falkner, Autumn 2022 edition (Hard copy available at Barnes and Noble and SBX on High Street).

Contents: Complete schedule of class.

This course is designed to teach you to understand and write formal mathematical statements, in particular proofs. You will practice this skill while learning introductory combinatorics, number theory and set theory. More description here.

Homeworks: The homework problems will be assigned along the semester. Check Carmen for the homework assignment and due time.

Note: most homework will consist of writing proofs. When writing a written proof, I suggest you write elementary sentences that declare which established facts you are using, or follow a clear and logical derivation from the previous statements. If you are having trouble understanding the material or homework, come to office hrs ASAP. Homework is due in class on FRIDAYS (except for exceptional weeks when we have a break). Exams and late homework can only be made up because of illness or other serious reason (with verifications).

Tips on succeeding (1) Read the section we will be covering ahead of time. (2) Do the homeworks and sugegsted problems. (3) Come to office hours right a way if you are having any difficulty.

Course Website .

Grading and Exams

Grade Distribution
Homeworks and Quizzes20+5%
Midterm I October 720%
Midterm II November 920%
Final (all topics listed in Course Syllabus) December 1535%
The midterms will take place in the regular classroom. Calculators will not be allowed during exams.

See the table to the right for OSU standard scheme.
     
OSU standard scheme
93-100%      A
90-92.9%      A-
87-89.9%      B+
83-86.9%      B
80-82.9%      B-
77-79.9%      C+
73-76.9%      C
70-72.9%      C-
67-69.9%      D+
60-66.9%      D
Below 60%      E

Further Information

Academic Misconduct Statement: It is the responsibility of the Committee on Academic Misconduct to investigate or establish procedures for the investigation of all reported cases of student academic misconduct. The term academic misconduct includes all forms of student academic misconduct wherever committed; illustrated by, but not limited to, cases of plagiarism and dishonest practices in connection with examinations. Instructors shall report all instances of alleged academic misconduct to the committee (Faculty Rule 3335-5-48.7). For additional information, see the Code of Student Conduct .

Disability Services Statement : The University strives to make all learning experiences as accessible as possible. If you anticipate or experience academic barriers based on your disability (including mental health, chronic or temporary medical conditions), please let me know immediately so that we can privately discuss options. To establish reasonable accommodations, I may request that you register with Student Life Disability Services. After registration, make arrangements with me as soon as possible to discuss your accommodations so that they may be implemented in a timely fashion. SLDS contact information: slds@osu.edu; 614-292-3307; 098 Baker Hall, 113 W. 12th Avenue.

55-minute classes: 8-8:55; 9:10-10:05, 10:20-11:15, 11:30-12:25, 12:40-1:35, 1:50-2:45, 3-3:55, 4:10-5:05, 5:20-6:15.

80-minute classes: 8-9:20; 9:35-10:55, 11:10-12:30, 12:45-2:05, 2:20-3:40, 3:55-5:15, 5:30-6:50.