| 12/22/2024 3:01:01 AM |
| Changed Course |
| CATALOG INFORMATION
|
| Discipline and Nbr:
MATH 1B | Title:
CALCULUS 2 |
|
| Full Title:
Calculus, Second Course |
| Last Reviewed:9/14/2020 |
| Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
| Maximum | 5.00 | Lecture Scheduled | 5.00 | 17.5 max. | Lecture Scheduled | 87.50 |
| Minimum | 5.00 | Lab Scheduled | 0 | 17.5 min. | Lab Scheduled | 0 |
| | Contact DHR | 0 | | Contact DHR | 0 |
| | Contact Total | 5.00 | | Contact Total | 87.50 |
| |
| | Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| | Total Out of Class Hours: 175.00 | Total Student Learning Hours: 262.50 | |
Title 5 Category:
AA Degree Applicable
Grading:
Grade Only
Repeatability:
00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:
Catalog Description:
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Topics include indeterminate forms, conic sections, polar coordinates, infinite series, parametric equations, solid analytic geometry, and vectors.
Prerequisites/Corequisites:
MATH 1A.
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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Indeterminate forms, conic sections, polar coordinates, infinite series, parametric equations, solid analytic geometry, vectors.
(Grade Only)
Prerequisites:MATH 1A.
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
| Associate Degree: | Effective: | Fall 1981
| Inactive: | |
| Area: | B
MC
| Communication and Analytical Thinking
Math Competency
|
| |
| CSU GE: | Transfer Area | | Effective: | Inactive: |
| | B4 | Math/Quantitative Reasoning | Fall 1981 | |
| |
| IGETC: | Transfer Area | | Effective: | Inactive: |
| | 2A | Mathematical Concepts & Quantitative Reasoning | Fall 1981 | |
| |
| CSU Transfer: | Transferable | Effective: | Fall 1981 | Inactive: | |
| |
| UC Transfer: | Transferable | Effective: | Fall 1981 | Inactive: | |
| |
| C-ID: |
| CID Descriptor: MATH 900S | Single Variable Calculus Sequence | SRJC Equivalent Course(s): MATH1A AND MATH1B |
| CID Descriptor: MATH 230 | Multivariable Calculus | SRJC Equivalent Course(s): MATH1B AND MATH1C |
Certificate/Major Applicable:
Not Certificate/Major Applicable
COURSE CONTENT
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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To be successful, students should be able to:
1. Use limits to evaluate indeterminate forms.
2. Apply convergence tests to series with constant terms.
3. Define and discuss conic sections as equations, as geometric
intersections and as loci.
4. Compute and use Taylor polynomials and Taylor series for elementary
functions.
5. Apply differention and integration to parametric representations of
graphs, including polar graphs.
6. Use rectangular, cylindrical, and spherical coordinates in
coordinate space.
7. Compute and use determinates, dot products, cross products, and
projections.
8. Determine lines and planes in space.
9. Describe velocity and acceleration of particles in the plane and in
space using vector functions.
Topics and Scope
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INTEGRATION AND LIMITS
Indeterminate forms, L'Hopital's rule and improper integrals.
TOPICS FROM PLANE ANALYTIC GEOMETRY
Conic sections, Polar coordinates and graphs.
INFINITE SERIES
Sequences and series, Convergence tests, Taylor polynomials and
approximations, Power series, Taylor and Maclaurin series.
PARAMETRIC EQUATIONS
Tangents, arc length and areas, Tangents and area for polar graphs
TOPICS FROM SOLID ANALYTIC GEOMETRY
Rectangular, cylindrical and spherical coordinate systems,Quadratic
surfaces.
VECTORS
Vectors in the plane and in space, Determinants, Dot and cross
products, Projections, Lines and planes in space, Differentiation
and integration of vector values functions, Velocity and accelaration,
Tangent and normal vectors, curvature.
Assignments:
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1. The student will have daily outside reading, problem set assignments
from required text(s), or instructor chosen supplementary materials.
2. Instructional methodology may include, but not limited to: lecture,
demonstrations, oral recitation, discussion, supervised practice,
independent study, outside project or other assignments.
Methods of Evaluation/Basis of Grade.
| Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing. | Writing
0 - 0% |
| None | |
| This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments and skill demonstrations are more appropriate for this course. |
|
| Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills. | Problem Solving
25 - 50% |
| Homework problems, Exams | |
| Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations
30 - 70% |
| Performance exams | |
| Exams: All forms of formal testing, other than skill performance exams. | Exams
5 - 25% |
| Multiple choice | |
| Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category
1 - 10% |
| WRITING ASSIGNMENTS | |
Representative Textbooks and Materials:
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Text(s) required of each student will be selected by the department,
a committe of the department, or the responsible instructor from the
books currently available. Choices could include:
CALCULUS WITH ANALYTIC GEOMETRY (5TH) Larson/Hostetler D.C. Heath, 1997
CALCULUS, Ostabee, Zorn, Saunders, 1996
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