Associate in Science Degree in Mathematics
2022-2023 Map
Total Units: 41 - 53
Term 1
12 Units. Specified core courses are signified by icon.| Course Name | Units | Notes | |
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| MATH 30: Analytic Geometry and Calculus I | 5.00 | Prerequisite is MATH 20 and MATH 26 or college -level pre-calculus. | |
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Prerequisite(s): MATH 20 and MATH 26 or college-level Pre-calculus A first course in differential and integral calculus of a single variable: functions, limits and continuity, techniques and applications of differentiation and integration, Fundamental Theorem of Calculus. Primarily for Science, Technology, Engineering & Math Majors. (C-ID MATH 210). |
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| Butte Local Area F - Self-Integration (Select One) | 3.00 | ||
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| English Composition | 4.00 | ||
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| Elective (any course numbered 1-99) | If transferring, take other General Education for target school(s). For CSUs, consider A1 or A3. See www.assist.org | ||
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Term 2
8.00 - 12.00 Units. Specified core courses are signified by icon.| Course Name | Units | Notes | |
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| MATH 31: Analytic Geometry and Calculus II | 4.00 | ||
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Prerequisite(s): MATH 30 This course is the second of a series in differential and integral calculus of a single variable. Topics will include the concept, techniques and applications of integration, infinite sequences and series, as well as polar and parametric equations. Intended for Science, Technology, Engineering & Math Majors. (C-ID MATH 220). |
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| Butte Local Area B - Social and Behavioral Sciences (Select One) | 3.00 | If transferring, consider taking an Area D course for CSU GE. | |
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| Butte Local Area A - Natural Science (Select One) | 1.00 - 5.00 | If transferring, consider taking an Area B1 or B2 course for CSU GE. | |
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| Elective (any course numbered 1-99) | If transferring and taking an elective, take other General Education for target school(s). For CSUs, consider A1 or A3. See www.assist.org | ||
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Term 3
10.50 - 12.50 Units. Specified core courses are signified by icon.| Course Name | Units | Notes | |
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| CSCI 20: Programming and Algorithms I | 3.00 | ||
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Unit(s): 3.00
This course is an introduction to the discipline of computer science, with a focus on the design and implementation of algorithms to solve simple problems using a high-level programming language. Topics include fundamental programming constructs, problem-solving strategies, debugging techniques, declaration models, and an overview of procedural and object-oriented programming languages. Students will learn to design, implement, test, and debug algorithms using pseudocode and a high-level programming language. (C-ID COMP 122). |
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| MATH 32: Analytic Geometry and Calculus III | 4.00 | ||
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Prerequisite(s): MATH 31 Vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green???s Theorem, Stokes??? Theorem, divergence theorem. (C-ID MATH 230). |
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| Butte Local Area C - Humanities (Select One) | 3.00 - 4.00 | ||
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| Kinesiology Activity (Select One) | 0.50 - 1.50 | ||
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| Elective (any course numbered 1-99) | Consider Math 40 (prerequisite of Math 31) or Math 42 (prerequisite of Math 30) here. If transferring, could also consider taking other General Education for target school(s). For CSUs, consider A1 or A3. See www.assist.org | ||
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Notes:
The department would also like prospective CSUC transfer students to consider taking Math 330 (a prerequisite course for many UD Math courses at CSUC) this term via concurrent enrollment. Contact the department and/or the Transfer Center (530 895-2264) for more details.
Term 4
10.50 - 16.50 Units. Specified core courses are signified by icon.| Course Name | Units | Notes | |
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| MATH 40: Differential Equations | 4.00 | ||
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Prerequisite(s): MATH 31 The course is an introduction to ordinary differential equations including both quantitative and qualitative methods as well as applications from a variety of disciplines. Introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, and singular points, Laplace transforms and linear systems. (C-ID MATH 240). |
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| MATH 42: Linear Algebra | 3.00 | ||
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Prerequisite(s): MATH 30 This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Investigates the properties of vectors in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included. (C-ID MATH 250). |
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| Kinesiology Activity (Select One) | 0.50 - 1.50 | ||
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| Multicultural Breadth Competency (Select One) | 3.00 - 8.00 | Not required if double counted in area B, C or F in prior terms. | |
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| Elective (any course numbered 1-99) | Consider taking CSU or IGETC General Education for transfer and/or prerequisites for a major: www.assist.org. The department would also like prospective CSUC transfer students to consider taking Math 330 (a prerequisite course for many UD Math courses at CSUC) this term via concurrent enrollment. Contact the department and/or the Transfer Center (530 895-2264) for more details. | ||
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| Elective (any course numbered 1-99) | Only if needed for overall 60 units to graduate or transfer. | ||
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