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Course Syllabus

MATH1350 - Fundamentals of Mathematics I

Catalog Description: This course covers concepts of sets, functions, numeration systems, number theory, and properties of the natural numbers, integers, rational, and real number systems with an emphasis on problem solving and critical thinking. This course is designed speci

Semester Credit Hours: 3
Lecture Hours per Week:
Contact Hours per Semester: 48
State Approval Code: 2701015137

Course Subject/Catalog Number: MATH 1350
Course Title:  Fundamentals of Mathematics I

Instructional Goals and Purposes:

Lee College's instructional goals include 1) creating an academic atmosphere in which students may develop their intellects and skills and 2) providing courses so students may receive a certificate/an associate degree or transfer to a senior institution that offers baccalaureate degrees.  

General Course Objectives:

Successful completion of this course will promote the general student learning outcomes listed below. The student will be able

  1. To apply problem-solving skills through solving application problems.
  2. To demonstrate arithmetic and algebraic manipulation skills.
  3. To read and understand scientific and mathematical literature by utilizing proper vocabulary and methodology.
  4. To construct appropriate mathematical models to solve applications.
  5. To interpret and apply mathematical concepts.
  6. To use multiple approaches – physical, symbolic, graphical, and verbal – to solve application problems.

Specific Course Objectives:

Upon successful completion of the course, the student will be able

  1. To understand sets and set notation and set operations and relations and functions.
  2. To understand the fundamentals of logic.
  3. To explain various types of number systems.
  4. To perform the arithmetic of whole numbers, integers, decimals, rational and real numbers.
  5. To understand prime and composite numbers.
  6. To define divisibility and perform the divisibility tests.
  7. To define and compute the least common multiple and the greatest common divisor of two integers.
  8. To convert a repeating decimal to rational form.

Course Content:

Students will be required to do the following:

  1. Critical Thinking
    1. Solve problems using Polya’s problem solving principles.
    2. Solve problems by introducing and using variables.
  2. Sets, Whole Numbers, and Functions
    1. Use correct terminology and notation to represent information about sets.
    2. Verify properties of sets with Venn Diagrams.
    3. Determine whether two sets are equivalent.
    4. Determine whether two sets have a one-to-one correspondence.
    5. Perform operations using properties of whole numbers.
    6. Determine whether a relation is a function.
    7. Identify the domain and range of a function.
  3. Numeration and Computation
    1. Distinguish between numeration systems which are additive or positional.
    2. Perform computations in different numeration systems.
    3. Convert values between two base notations.
    4. Perform arithmetic operations by different methods.
  4. Number Theory and Integers
    1. Identify whether a given number is prime or composite.
    2. Use divisibility rules to determine the prime factorization of composite numbers.
    3. Use prime factorization to determine the greatest common factor, greatest common divisor for a given pair of numbers.
    4. Use prime factors to determine the least common multiples for a pair of given numbers.
    5. Make calculations using clock arithmetic.
    6. State the field properties of integers.
    7. Perform operations involving integer values.
  5. Fractions, Decimals, Rational, and Real Numbers
    1. Determine the least common denominator for a given group of fractions.
    2. Perform basic operations on a given group of fractions and express the results in the simplest form.
    3. Convert improper fractions to mixed numbers.
    4. Convert mixed numbers to improper factors.
    5. Apply the transitive property and density property.
    6. Convert numbers given as a fraction, decimal, or percent to either of the other notations.
    7. Solve problems using ratios or proportions.
    8. Solve problems using scientific notation.
    9. Solve problems using compound interest.

Methods of Instruction/Course Format/Delivery:

Faculty may choose from but are not limited to the following methods of instruction:   lecture, discussion, Internet, video, television, demonstrations, field trips, collaboration, readings.

Assessment:

Faculty may assign both in- and out-of-class activities to evaluate students' knowledge and abilities.   Faculty may choose from the following methods:  

  • Attendance
  • Book reviews
  • Class preparedness and participation
  • Collaborative learning projects
  • Compositions
  • Exams/tests/quizzes
  • Homework
  • Internet  
  • Journals
  • Library assignments
  • Readings
  • Research papers
  • Scientific observations
  • Student-teacher conferences
  • Written assignments

Course Grade:

Students' final grades are determined by:
100-90 A
89-80 B
79-70 C
69-60 D
59 or below F

Texts, Materials, and Supplies:

For current texts and materials, use the following link to access bookstore listings:   http://www.leecollegebooks.com

Other: