|12/9/2023 5:54:03 PM||
|Discipline and Nbr:
Calculus, Second Course
|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
Title 5 Category:
AA Degree Applicable
00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
| ||Total Out of Class Hours: 175.00||Total Student Learning Hours: 262.50||
Topics include indeterminate forms, conic sections, polar coordinates, infinite series, parametric equations, solid analytic geometry, and vectors.
Limits on Enrollment:
Schedule of Classes Information
Indeterminate forms, conic sections, polar coordinates, infinite series, parametric equations, solid analytic geometry, vectors.
Limits on Enrollment:
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
Not Certificate/Major Applicable
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
|Associate Degree:||Effective:||Fall 1981||Inactive:||
|Communication and Analytical Thinking
|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:||
| 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
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
5. Apply differention and integration to parametric representations of
graphs, including polar graphs.
6. Use rectangular, cylindrical, and spherical coordinates in
7. Compute and use determinates, dot products, cross products, and
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
INTEGRATION AND LIMITS
Indeterminate forms, L'Hopital's rule and improper integrals.
TOPICS FROM PLANE ANALYTIC GEOMETRY
Conic sections, Polar coordinates and graphs.
Sequences and series, Convergence tests, Taylor polynomials and
approximations, Power series, Taylor and Maclaurin series.
Tangents, arc length and areas, Tangents and area for polar graphs
TOPICS FROM SOLID ANALYTIC GEOMETRY
Rectangular, cylindrical and spherical coordinate systems,Quadratic
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.
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.
Representative Textbooks and Materials:
|Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.||Writing
0 - 0%
|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%
|Exams: All forms of formal testing, other than skill performance exams.||Exams
5 - 25%
|Other: Includes any assessment tools that do not logically fit into the above categories.||Other Category
1 - 10%
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