# SRJC Course Outlines

 9/9/2024 12:50:28 AM MATH 1B Course Outline as of Fall 2009 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
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:

Catalog Description:
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Topics include methods of integration, conic sections, polar coordinates, infinite sequences and series, parametric equations, solid analytic geometry, and vectors.

Prerequisites/Corequisites:
MATH 1A.

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document
Topics include methods of integration, conic sections, polar coordinates, infinite sequences and series, parametric equations, solid analytic geometry, and vectors.

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: BMC Communication and Analytical ThinkingMath 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: Major Applicable Course

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon completion of the course, students will be able to:
1.   Apply methods of integration, including integration by parts and partial fractions, to
calculate proper and improper integrals.
2.   Define and discuss conic sections as equations, as geometric intersections and as loci.
3.   Apply differentiation and integration to parametric representations of graphs, including
polar graphs.
4.   Use three dimensional rectangular coordinates.
5.   Determine convergence of sequences and series.
6.   Compute Taylor and Maclaurin series and demonstrate applications to elementary functions.
7.   Compute and use determinants, 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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I.    Integration
A. Integration by parts
B. Trigonometric integrals
C. Partial fractions
D. Improper integrals
E. Area of surfaces of revolution
II.   Topics From Plane Analytic Geometry
A. Conic sections
B. Polar coordinates and graphs
III.  Infinite Series
A. Sequences and series
B. Convergence tests
C. Taylor polynomials and approximations
D. Power series
E. Taylor and Maclaurin series
IV.  Parametric Equations
A. Tangents, arc length and areas
B. Tangents and area for polar graphs
V.   Topics from Solid Analytic Geometry
A. Rectangular coordinate system
VI.  Vectors
A. Vectors in the plane and in space
B. Determinants
C. Dot and cross products
D. Projections
E. Lines and planes in space
F. Differentiation and integration of vector values functions
G. Velocity and acceleration
H. Tangent and normal vectors
I.  Curvature

Assignments:
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1.  Daily reading outside of class (20-50 pages per week).
2.  Problem set assignments from required text(s) or supplementary
materials chosen by the instructor (1-6 per week).
3.  Quizzes (0-4 per week).
4.  Exams (3-8 per term).
5.  Projects (for example, computer explorations or modeling activities,  0-10 per term.)