SRJC Course Outlines

10/1/2022 5:20:30 PMMATH 1B Course Outline as of Fall 1999

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  MATH 1BTitle:  CALCULUS 2  
Full Title:  Calculus, Second Course
Last Reviewed:9/14/2020

UnitsCourse Hours per Week Nbr of WeeksCourse Hours Total
Maximum5.00Lecture Scheduled5.0017.5 max.Lecture Scheduled87.50
Minimum5.00Lab Scheduled017.5 min.Lab Scheduled0
 Contact DHR0 Contact DHR0
 Contact Total5.00 Contact Total87.50
 
 Non-contact DHR0 Non-contact DHR Total0

 Total Out of Class Hours:  175.00Total 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: Untitled document
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:
 B4Math/Quantitative ReasoningFall 1981
 
IGETC:Transfer Area Effective:Inactive:
 2AMathematical Concepts & Quantitative ReasoningFall 1981
 
CSU Transfer:TransferableEffective:Fall 1981Inactive:
 
UC Transfer:TransferableEffective:Fall 1981Inactive:
 
C-ID:
 CID Descriptor: MATH 900S Single Variable Calculus Sequence SRJC Equivalent Course(s): MATH1A AND MATH1B

Certificate/Major Applicable: Not Certificate/Major Applicable



COURSE CONTENT

Outcomes and Objectives:
Upon completion of the course, students will 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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