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Mathematics - 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.

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Program Contacts at Sauk Valley Community College

• Academic Advising, 815-835-6354
• Carrie Conderman, Professor of Mathematics, 815-835-6356
• Ronald Hobson, Professor of Mathematics, 815-835-6214
• Kevin Megill, Associate Professor of Computer Information Systems, 815-835-6251
• Scott VanZuiden, Professor of Mathematics, 815-835-6349
• Connor Williams, Assistant Professor of Mathematics, 815-835-6397

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)

  This course (1) develops awareness of the writing process; (2) provides inventional, organizational, and editorial strategies; (3) stresses the variety of uses for writing; and (4) emphasizes critical skills in reading, thinking, and writing. Prerequisite: Required placement score on approved English placement test, high school unweighted GPA of 3.0 or higher, or a grade of C or higher in ELA 099. 3 Semester hour(s) Illinois Articulation Initiative (IAI): C1 900 Lecture/Lab Hours: 3 lec/week

• FYE101 - First Year Experience ( 1 Semester Hours)

  The focus of this course is how to be successful in college. Study skills, goal setting, academic planning, time and money management, and information research skills are among the core topics included in this course. Within a supportive environment, students will share their college experiences and develop connections with fellow students and SVCC staff. 1 Semester hour(s) 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: A grade of C or better in MAT 121, College Algebra, AND MAT 122, Trigonometry OR appropriate placement (see current placement score prerequisite chart) 4 Semester hour(s) Illinois Articulation Initiative (IAI): M1 900-1, MTH 901 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. 3 Semester hour(s) Illinois Articulation Initiative (IAI): C1 901R 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: Intermediate Algebra 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 a programming prerequisite (either CIS 150: Fundamentals of Business Computer Programming or consent of instructor based on previous programming experience). 3 Semester hour(s) Illinois Articulation Initiative (IAI): CS 911 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. 3 Semester hour(s) 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. 4 Semester hour(s) Illinois Articulation Initiative (IAI): M1 900-2, MTH 902 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. 5 Semester hour(s) Illinois Articulation Initiative (IAI): P2 900L and PHY 911 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, including application problems. Linear independence and the Wronskian of higher order equations will be covered. Methods for solving second-order homogeneous and non-homogeneous equations include the methods of undetermined coefficients, reduction of order, and variation of parameters. At least two of the following topics will be covered in depth: LaPlace transforms, power series methods, partial differential equations and Fourier series, systems of linear differential equations, further numerical methods and non-cursory treatment of other advanced topics. Prerequisite: MAT 204 with a grade of C or higher. 3 Semester hour(s) Illinois Articulation Initiative (IAI): MTH 912 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. The course also includes material on vector fields, line integrals, independence of path, Green's Theorem, surface integrals, the Divergence Theorem, and Stokes's Theorem. Prerequisite: MAT 204 with a grade of C or higher. 4 Semester hour(s) Illinois Articulation Initiative (IAI): M1 900-3, MTH 903 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: a grade of C or better in MAT 204 3 Semester hour(s) Illinois Articulation Initiative (IAI): MTH 911 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.