Download PDF

Mathematics - Associate in Science (416)

Associate in Science (416)

Bachelor's degree programs in Mathematics prepare students with diverse career goals by developing rigorous, logical thinking; an appreciation and familiarity with complex structures and algorithms; and the ability to learn technical material and abstract concepts. Community college students seeking a bachelor's degree in Mathematics are strongly encouraged to complete an Associate in Science (A.S.) degree prior to transfer. To transfer as a junior into a bachelor's math program students must complete a minimum of 60 semester credits (64 for the Associate degree). Since admission is competitive, completing the recommended courses does not by itself guarantee admission. A grade of "C" or better may be required for chemistry, mathematics, and engineering science courses to transfer.

Mathematics - IAI Recommended Baccalaureate Curriculum

Follow this link for career information.

Total Hours Required - 64-68 Hours

Suggested Program

First Semester - 15-17 Hours

• Life Science 3-5 Semester hour(s)
• Social/Behavioral Science 3 Semester hour(s)
• Personal Development 1 Semester hour(s)

• ENG101 - Composition I ( 3 Semester Hours)

  A basic course in essay writing with emphasis on exposition, ENG 101 stresses knowledge and application of the rhetorical modes. ENG 101 presupposes competence in grammar, usage, and mechanics. Prerequisite: ACT standard score in English of 22 or above; required scores on the current English placement test, or grade of C or higher in ELA 099. Illinois Articulation Initiative (IAI): C1 900 Semester hour(s): 3 Lecture/Lab Hours: 3 lec/week

• FYE101 - First Year Experience ( 1 Semester Hours)

  This course is designed to facilitate the self-development of the student, and introduce students to the expectations of the college community. This course reviews the academic skills that promote success during their college career. Topics will include, but not limited to, identifying campus/community resources, test-taking strategies, career exploration/decision making, problem solving, literacy, and critical thinking. Students will also learn strategies for taking personal responsibility for their academic and career choices. (Students in good standing (GPA of 2.0 or higher), who have accumulated 16 semester hours or more prior to enrolling as a degree seeking student at Sauk are not required to take this class). Semester hour(s): 1 Lecture/Lab Hours: 1 lec/week

• *

  MAT203 - Calculus & Analytic Geometry I ( 4 Semester Hours)

  The elementary concepts of differential and integral calculus are introduced and applications are discussed. These include: limits, continuity, the derivative, rules of differentiation, the indefinite and definite integral. Trigonometric functions are dealt with. Some applications are: related rates, graphing, extreme value problems and Newton's method for finding roots of equations. Prerequisite: MAT 122 - Trigonometry with a grade of C or higher (or appropriate placement score) OR four years of college preparatory high school mathematics with grades of C or higher and either the appropriate placement score or an ACT Math score at least 26 OR Math 3 with a grade of C or higher and either appropriate placement score or an ACT Math score of at least 26 Illinois Articulation Initiative (IAI): M1 900-1, MTH 901 Semester hour(s): 4 Lecture/Lab Hours: 4 lec/week

Second Semester - 16 Hours

• Personal Development 1 Semester hour(s)

• ENG103 - Composition II ( 3 Semester Hours)

  An advanced course in essay writing with emphasis on formal research, ENG 103 serves to develop a proficiency in the collection and selection of data as applied to the completion of a formal research paper. In addition, students receive instruction in logic and reasoning, including the fundamentals of argumentative and persuasive writing. Prerequisite: A grade of C or higher in ENG 101 or its equivalent or consent of instructor. Illinois Articulation Initiative (IAI): C1 901R Semester hour(s): 3 Lecture/Lab Hours: 3 lec/week

• CIS207 - C++ Programming ( 3 Semester Hours)

  This course teaches structured computer programming in the C++ language. It emphasizes structured design, and procedural and data abstraction. It covers the fundamental control structures and data types in C++. Prerequisite: An algebra prerequisite (either MAT 081 with a grade of C or higher or two years of high school algebra with grades of C or higher or appropriate placement score) and CIS 150 or previous programming experience. Illinois Articulation Initiative (IAI): CS 911 Semester hour(s): 3 Lecture/Lab Hours: 3 lec/week Course delivery mode: face-to-face

  OR

  MAT150 - Computer Prog Math & Engineer ( 3 Semester Hours)

  The syntax of a high-level programming language is studied and applied to problems in mathematics, science and engineering. An emphasis is placed on the structured development of algorithms to solve these problems. The programming language features that lend themselves to problems in these areas such as special variable types, library and user defined functions, and subprograms are dealt with in more detail. Applications involving methods of finding roots of functions, numerical techniques of integration and differentiation, vector and matrix operations included. Prerequisite: MAT 203 with a grade of C or better. Semester hour(s): 3 Lecture/Lab Hours: 3 lec/week
   
• *

  MAT204 - Calc & Analytic Geometry II ( 4 Semester Hours)

  The methods of differentiation and integration are extended and power series are introduced. The new methods deal with: logarithms, exponential, hyperbolic and inverse trigonometric functions. Some applications are: area between two curves, volumes of revolution, arc length, and work. The techniques of integration by parts, partial fractions, trigonometric substitution and numerical integration are covered. Power series and the Taylor series function representation are introduced. Prerequisite: MAT 203 with a grade of C or higher. Illinois Articulation Initiative (IAI): M1 900-2, MTH 902 Semester hour(s): 4 Lecture/Lab Hours: 4 lec/week

• PHY211 - Engineering Physics I ( 5 Semester Hours)

  An examination of the basic principles of mechanics with special emphasis on conceptual and mathematical problem-solving. Topics include linear kinematics, Newton's Laws, rotational motion, gravitation, and equilibrium. Prerequisites: High school physics or PHY 201 and MAT 203. Illinois Articulation Initiative (IAI): P2 900L and PHY 911 Semester hour(s): 5 Lecture/Lab Hours: 4 lec, 2 lab/week

Third Semester - 16-18 Hours

• Social/Behavioral Science 3 Semester hour(s)
• Fine Arts 3 Semester hour(s)
• Additional Science 3-5 Semester hour(s)
• **Electives and/or Humanities/Fine Arts 4 Semester hour(s)
• ***

  MAT211 - Differential Equations ( 3 Semester Hours)

  This course is an introduction to methods of solving differential equations as well as applications of differential equations to physical problems. The methods for solving first-order differential equations include numerical techniques, separation of variables, substitution methods, exact equation techniques, and identification of integrating factors. Also, some types of higher order equations will be explored. Linear independence and the Wronskian of higher order equations will be covered. Methods for solving second-order homogeneous and non-homogeneous equations include the method of undetermined coefficients, reduction of order, and variation of parameters. LaPlace transforms and power series methods will also be studied, as well as some applications of second order equations. Prerequisite: MAT 204 with a grade of C or higher. Illinois Articulation Initiative (IAI): MTH 912 Semester hour(s): 3 Lecture/Lab Hours: 3 lec/week

  OR

  **ELECTIVES 3 SEMESTER HOUR(S)
   

Fourth Semester - 17 Hours

• Fine Arts 3 Semester hour(s)
• Personal Development 1 Semester hour(s)
• **Electives 3 Semester hour(s)

• COM131 - Intro to Oral Communication ( 3 Semester Hours)

  This course combines communication theory with the practice of oral communication skills. This course: (1) develops awareness of the communication process; (2) provides inventional, organizational, and expressive strategies; (3) promotes understanding of and adaptation to a variety of communication contexts; and (4) emphasizes critical skills in listening, reading, thinking, and speaking. 3 Semester hour(s) Illinois Articulation Initiative (IAI): C2 900 Lecture/Lab Hours: 3 lec/week

• *

  MAT205 - Calc & Analytic Geometry III ( 4 Semester Hours)

  The elementary ideas concerning conic sections, polar curves, and vector-valued and multivariate functions are covered. These topics include: area, arc length and tangents for polar curves. In addition, vectors, vector derivatives, curvature and motion in two and three space are studied. The multivariate concepts of differentiability, partial differentiation, gradient vectors, LaGrange multipliers, finding relative extreme values, and multiple integration are studied. This course also includes material on vector fields, line integrals, independence of path, Green's Theorem, surface integrals, the Divergence Theorem, and Stokes Theorem. Prerequisite: MAT 204 with a grade of C or higher. Illinois Articulation Initiative (IAI): M1 900-3, MTH 903 Semester hour(s): 4 Lecture/Lab Hours: 4 lec/week

• ***

  MAT231 - Linear Algebra ( 3 Semester Hours)

  This course is an introduction to the mathematical theory and application of matrices, vectors, vector spaces, and linear transformations. Topics include the algebra of matrices for solving systems of linear equations, the theory of finite-dimensional vector spaces, and theorems and applications associated with eigenvectors and eigenvalues. Students will construct proofs of propositions involving the following: matrices, determinants, vector spaces and inner product spaces. Applications of linear algebra will be examined. Prerequisite: MAT 204 with a grade of C or higher. Illinois Articulation Initiative (IAI): MTH 911 Semester hour(s): 3 Lecture/Lab Hours: 3 lec/week

  OR

  **ELECTIVES 3 SEMESTER HOUR(S)
   

Footnotes

• *It is highly advised that students complete the entire Calculus sequence at a single institution. Course content may vary widely among institutions depending on the credits assigned to each course, and completing the sequence at a single institution is the best way to assure that neither credit nor content is lost in transfer.
• **Suggested electives include CIS 208, MAT 230, and/or PHY 211, and one Humanities or Fine Arts general education class.
• *** Students should choose MAT 211 or MAT 231 (not both). MAT 231 is preferred.