This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

Intro to Higher Mathematics -- Spring 2018

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MTH 300 - Intro to Higher Mathematics. A transition between elementary calculus and higher mathematics with emphasis on techniques of proof. (PR: C or better in MTH 230)

  • Time and Place: 1:00 pm - 1:50 pm MTWR at 518 Smith Hall.
  • Instructor: Peter Saveliev (call me Peter).
  • Office: Smith Hall 713.
  • Office Hours: MW 4:00, TR 3:00, or by appointment.
  • Office Phone: x4639.
  • E-mail:
  • Class Web-Page:
  • Prerequisites: a certain level of mathematical maturity acquired through experience with calculus, algebra, geometry, etc. -- Calculus III.
  • Text: Mathematical Proofs (A transition to higher mathematics) by Chartrand/Ploimeni/Zhang (recommended reading) and the lecture notes.
  • Outcomes: the student will become proficient at reading proofs, checking proofs, discovering proofs, and writing proofs; the student will also start to become familiar with various constructions of advanced mathematics.
  • Computer Restrictions: graphic calculator TI-83 or TI-83+.
  • Activities: the student will practice each outcome via the homework given in the textbook and online.
  • Evaluation: the student achievement of each outcome will be assessed via:
  • Grade Breakdown:
    • participation: $5\%$,
    • quizzes: $30\%$,
    • midterm: $25\%$,
    • final exam: $40\% $,

i.e., the total score is the following weighted average of the five scores: $$\text{TOTAL }= .05 \times P + .30\times Q + .25\times M + .40\times F.$$

For other details, see Course policy.

1 Lectures

They will appear here as the course progresses.


Reading assignment:

  • Section 1.2 Logical connectives and truth tables in your textbook Mathematical Proofs.

YouTube playlist: Proofs

2 Exams


Old exams (to be used for testing not studying):