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MA 101
MA 101 -- Modern College Mathematics I
- Problem Solving Strategies
- Sets
a) Basic concepts
b) Venn diagrams and subsets
c) Set operations
d) Infinite sets, cardinal numbers
- The Real Number System
a) Properties of real numbers
b) Rational and irrational numbers
c) Countability and uncountability
- Logic
a) Statements
b) Truth tables / Equivalent statements
c) Euler diagrams
d) Analysis of arguments
e) Applications: Computer circuits
- Numeration and Mathematical Systems
a) Historical numeration systems
b) Arithmetic in the Hindu-Arabic system
c) Converting between number bases
d) Clock arithmetic and modular systems
e) Other finite mathematical systems
f) Groups
- Number Theory
a) Prime and composite numbers
b) Greatest common divisor and least common multiple
c) Perfect numbers
d) Sequences
e) Fibonacci numbers
f) Golden ratio
g) Solved and unsolved problems in number theory
h) Selected topics
- Topics in Consumer Mathematics
Learning Outcome 1: The student will have demonstrated a comprehension of problem solving strategies.
Learning Outcome 2: The student will have demonstrated the knowledge and use of applications of set concepts and basic logic.
Learning Outcome 3: The student will have demonstrated an understanding of mathematical systems and their properties.
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