This course offers an approach to number theory with an emphasis in understanding the nature of integer numbers, congruence classes, and their operations and applications. Topics include divisibility and divisibility tests, greatest common divisor, mathematical induction, division and Euclidian algorithms, primes, congruence, linear Diophantine equations, theorems of Euler and graphs 4. Piecewise defined functions 5. Conic sections 6. Matrices and determinants 7. Sequences and series 8. Mathematical induction 9. Binomial theorem 10. Applications. Prerequisite: Successful completion of the equivalent of one year of High School Algebra I and one year of High School Algebra II and an acceptable score on a mathematics placement test or a “C” grade or higher in MAC 1105 or consent of the department. MAC 1114 may be taken concurrently with MAC 1140. A “C” grade or higher must be earned to advance to a higher level math- ematics course or to satisfy part of the general education requirements in mathematics.