MAT 271 Foundations of Higher Mathematics

This is a sample syllabus only. Ask your instructor for the official syllabus for your course.

Office hours:

Expanded Course Description

Prepares students for the transition from lower division mathematics courses - which are often based on computation - to upper division mathematics courses - which typically are based on proof. Mathematical rigor, proof strategies, and writing are emphasized. Covers elementary mathematical logic, including propositional and predicate calculus, set theory, equivalence and order relations, simple and directed graphs, functions, and cardinals. Presents a rigorous treatment of vectors in Euclidean space and complex numbers as illustrative examples.

MAT 271 meets for three hours of lecture per week.


Required: MAT 191 with grade C or better.


After completing MAT 271 the student should be able to

Expected outcomes

Students should be able to demonstrate through written assignments, tests, and/or oral presentations, that they have achieved the objectives of MAT 271.

Method of Evaluating Outcomes

Evaluations are based on homework, class participation, short tests and scheduled examinations covering students' understanding of topics covered in MAT 271.


A Transition to Advanced Mathematics (4th ed.), by Douglas Smith, Maurice Eggen, Richard St. Andre. rooks/Cole Publ., 1997. (Chapters 1-5).

Table of contents

Grading Policy

Students' grades are based on homework, class participation, short tests, and scheduled examinations covering students' understanding of the topics covered in MAT 271. The instructor determines the relative weights of these factors. During tests students may be allowed a sheet of formulas (written by the student or provided by the instructor) and a graphing calculator as appropriate at the instructor's discretion.

Attendance Requirements

Attendance policy is set by the instructor.

Policy on Due Dates and Make-Up Work

Due dates and policy regarding make-up work are set by the instructor.

Schedule of Examinations

The instructor sets all test dates except the date of the final exam. The final exam is given at the date and time announced in the Schedule of Classes.

Academic Integrity

The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)

Accomodations for Students with Disabilities

Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.

Revision history:

Prepared by F. Brulois 9/22/00. Revised 7/7/01, 7/25/06, 1/21/11 (G. Jennings).