Math 1: Mathematical Reasoning
California State University, Sacramento · Department of Mathematics & Statistics
This is a one-semester course, which satisfies the quantitative reasoning requirement for GE (area B4). It is
recommended for students whose majors do not include a specific mathematics requirement. The objectives
of the course are the following:
Show the essence of mathematics – rather than teaching specific techniques in arithmetic, algebra or
Help students see some of the quality, elegance, and beauty in mathematics, and overcome any fear of
Enhance precision in the evaluation and expression of ideas, and thereby develop a student’s quantitative
The primary purpose of the course is to give students an understanding of some of the vocabulary, methods
and reasoning of mathematics. The focus is on the ideas of mathematics and on giving students an understanding of why results hold – and not on learning specific results, techniques, or skills. Students will be
given periodic writing assignments that encourage them to think through concepts of the course.
Recommended for students whose majors do not include a specific mathematics requirement. Objectives
are to show some of the essence and quality of mathematics, and to enhance precision in the evaluation and
expression of ideas, thereby developing a student’s quantitative reasoning skills. Designed to give students
an understanding of some of the vocabulary, methods, and reasoning of mathematics with a focus on ideas.
Graded: Graded Student. Units: 3.0.
Area B-4 Mathematical Concepts and Quantitative Reasoning Student
Students will be able to:
1. Solve problems by thinking logically, making conjectures, and constructing valid mathematical
2. Make valid inferences from numerical, graphical and symbolic information.
3. Apply mathematical reasoning to both abstract and applied problems, and to both scientific and nonscientific problems.
To be determined in consultation with the instructor and the Math 1 Coordinator. Texts will be recommended
for use in the course, and a text will be chosen for any sections that are not taught by full-time faculty. (The
recommendations of texts are intended to indicate a reasonable level for the course.) A typical text for classes
not taught by full-time faculty would be Excursions in Modern Mathematics by Peter Tannenbaum.