# SRJC Course Outlines

 5/25/2024 1:12:40 AM MATH 1B Course Outline as of Fall 1999 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 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: Untitled document
Indeterminate forms, conic sections, polar coordinates, infinite series, parametric equations, solid analytic geometry, 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: 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.