MATH 1010 - Math for General Studies

3 sem hrs cr

This course is a study of problem solving techniques using sets and logic, algebraic reasoning, geometry, probability and statistics, and trigonometry. Additional topics from the history of mathematics and consumer finances are included. Prerequisite: Exemption from learning support with an ACT Math sub-score of 19 or higher. Students not eligible for collegiate-level mathematics must enroll in a special “LS” Learning Support section of MATH 1010 (Math for General Studies with Learning Support). Degree-seeking students enrolled in a Learning Support course must also enroll in MSCC 1300 during their first semester.

In rare and unusual circumstances, a course prerequisite can be overridden with the permission of the Department Lead for the discipline.

 

A minimum grade of “C” is required in this course to meet the requirement of the AST degree.

This course may include proctored exams which must be completed on campus or at an instructor-approved proctoring center which may require additional costs to the student. Please consult your instructor for additional details.

Transfer (UT) or Non-Transfer Course (UN): UT

By the end of the course, students will be able to…

• solve problems and determine if the solutions are reasonable.
• model real-world behaviors and apply mathematical concepts to the solution of real-life problems.
• make meaningful connections between mathematics and other disciplines.
• use technology for mathematical reasoning and problem solving.
• apply mathematical and/or basic statistical reasoning to analyze data and graphs.

Course Objectives

Throughout the course, students will have the opportunity to…

• apply laws of deductive logic to determine validity of arguments.
• use symbolic logic with statements and truth tables.
• compare and contrast the Hindu-Arabic number system with ancient systems and numeration.
• convert decimal numerals to other bases and numerals in other bases to decimal numerals.
• identify subsets of the real number system, distinguish field properties for the various subsets, and do operations for numbers in the subsets.
• use prime factorization to find least common multiple and greatest common factor of natural numbers.
• identify characteristics of polygons.
• use the Pythagorean Theorem and basic trigonometry ratios to solve right triangles.
• compute perimeters, areas, and volumes for two- and three-dimensional figures.
• compare, contrast, and convert English and metric measurements of length, weight, capacity, and temperature.
• apply exponential and logarithmic equations in real-world problems.
• utilize formulas to calculate simple and compound interest and expected values of annuities.
• utilize formulas to calculate monthly payment amounts and total interest.
• identify sequences as arithmetic, geometric, or Fibonacci and find next terms.
• determine unions, intersections, and complements of sets.
• use Venn diagrams to solve problems, including survey problems.
• calculate probability and odds of particular events.
• use permutations, combinations, and the fundamental counting principle to solve application problems.
• use bar, line, and circular graphs to depict and interpret data.
• prepare frequency distributions to organize data.
• calculate mean, median, and mode for a set of data.
• calculate range, standard deviation, and variance for a set of data.
• use the normal distribution to solve application problems.