# Math Courses at The University of the Pacific

There are a lot of opportunities when it comes to enrolling in college. Every year, thousands of students earn their college degrees to become successful in their career. The University of the Pacific is home to many alumni who have found success, such as actress Jamie Lee Curtis. In order to earn a degree, many courses are available to students based on their major requirements and interests. Here are 10 mathematics courses students can enroll in at The University of the Pacific. null

**1. MATH 033: Elements of Calculus **

This is a 4-credit course. It introduces polynomial, rational, exponential and logarithmic functions. Topics include differentiation, integration, and maxima/minima of functions of several variables. Prerequisites for the course include two years of high school algebra and an appropriate score on either the Intermediate Algebra placement test or the Pre-Calculus placement test; or MATH 005 or 041.

**2. MATH 037: Introduction to Statistics and Probability**

The course introduces elements of descriptive statistics: graphs, tables, measures of central tendency and dispersion. Probability models including binomial and normal. Students will learn the concepts of estimation, hypothesis testing and analysis of variance. Linear and multiple regression and correlation will be used. Prerequisite include MATH 033, 041, 045, 051, 053 or appropriate score on the calculus placement test. Students will earn 4 credits in this course.

**3. MATH 041: Pre-calculus**

This course addresses algebraic and trigonometric concepts which are necessary preparation for Calculus I. Topics include the real number system, algebraic, trigonometric, exponential and logarithmic functions. Professor Alex Dugas emphasizes the function concept; graphing functions; solving equations, inequalities and linear systems; and applied problems. Prerequisites include MATH 005 or an appropriate score on either the Intermediate Algebra placement test, the Pre-calculus placement test or the calculus placement test. The course is 4-credits.

**4. MATH 045: Introduction to Finite Mathematics and Calculus **

This 4-credit course introduces systems of equations, elements of matrix algebra, elementary linear programming, and calculus. Professor Glen Cornett shows applications to problems in economics, management and other fields. Before taking the course, students should have two years of high school algebra and an appropriate score on either the Intermediate Algebra placement test, the Pre-calculus placement test, or the calculus placement test; or MATH 005 or 041.

**5. MATH 049: Introduction to Abstract Mathematics **

This 4-credit course introduces students to the spirit and rigor of mathematics. The objective is to develop the skills required to read and write mathematics and prove theorems. Topics include elementary logic, sets and functions, cardinality, direct and indirect proofs, and mathematical induction. Prerequisite for the course is MATH 053 or permission of the instructor.

**6. MATH 051: Calculus I**

Differential calculus of algebraic and elementary transcendental functions are introduced in this course. Topics include anti-derivatives, introductory definite integrals, and the Fundamental Theory of Calculus. Prerequisites include MATH 007 or 041 or four years of high school mathematics including Trigonometry and an appropriate score on the placement test for calculus. The professor for this 4-credit course is Christopher Goff.

**7. MATH 057: Applied Differential Equations I - ODES**

This 4-credit course introduces ordinary differential equations, first-order equations, separable and linear equations. Topics include direction fields, second order linear equations with constant coefficients, and method of undetermined coefficients. Prerequisite for the course is MATH 055 or permission of the instructor, Aleksei Beltukov.

**8. MATH 072: Operations Research Models**

Operations Research (OR) teaches scientific design and operation of systems which involve the allocation of scarce resources. Students will survey some of the quantitative techniques used in OR. Techniques of solving include graphical techniques and the simplex algorithm. Prerequisite for this 4-credit course is MATH 033 or 045 or 051 or the appropriate score on the calculus placement test.

**9. MATH 110: Numerical Analysis**

This is a 4-credit course. Professor Neudauer introduces numerical analysis deals with approximation of solutions to problems arising from the use of mathematics. Topics include floating point arithmetic, computer solutions of linear algebraic systems by elimination and iterative methods, the algebraic eigenvalue problem, interpolation, and numerical integration. Prerequisite: MATH 055.

**10. MATH 148: Cryptography**

This 3-credit course is a survey of cryptography and cryptanalysis from historical cryptosystems through the modern use of cryptology in computing. Topics include public and symmetric key cryptosystems, digital signatures, modular arithmetic and other topics in number theory and algebra. Prerequisites for students to enroll in the course include MATH 053 or permission of the instructor.

Many more courses are offered to students at this university. Depending on their curriculum and interest, there are many options for students to earn their course credits. They will gain a new interest and knowledge for their major and find ways to make it successful in life. Just like many notable alumni at the university, future college students will get the opportunity to learn as much as they did!

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