# SRJC Course Outlines

10/31/2020 9:44:59 AM | MATH 1A Course Outline as of Fall 1999
| Changed Course |

CATALOG INFORMATION |
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Discipline and Nbr: MATH 1A | Title: CALCULUS 1 | |

Full Title: Calculus, First Course | ||

Last Reviewed:9/14/2020 |

Units | Course Hours per Week | Nbr of Weeks | Course Hours Total | ||||
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Maximum | 5.00 | Lecture Scheduled | 5.00 | 17.5 max. | Lecture Scheduled | 87.50 | |

Minimum | 5.00 | Lab Scheduled | 0 | 8 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 |

Grading: Grade Only

Repeatability: 00 - Two Repeats if Grade was D, F, NC, or NP

Also Listed As:

Formerly:

**Catalog Description:**

Topics include limits and continuity, differentiation, applications of the derivative, integration, applications of the integral, methods of integration.

**Prerequisites/Corequisites:**

MATH 27 (formerly MATH 57).

**Recommended Preparation:**

**Limits on Enrollment:**

**Schedule of Classes Information**

Description:

Limits and continuity, differentiation, applications of the derivative, integration, applications of the integral, methods of integration.

(Grade Only)

Prerequisites:MATH 27 (formerly MATH 57).

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 |
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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: |
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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:

To be successful, students should be able to:

1. Calculate limits and use limit notation.

2. Determine derivatives of polynomial rational, algebraic, exponential

logarithmic, and trigonometric functions.

3. Use techniques of differentiation, including product, quotient, and

chain rules.

4. Apply derivatives to graphing, optimization, and science applcation.

5. Determine antiderivatives of polynomial, rational, algebraic,

exponential, logarithmic, and trigonometric functions.

6. Evaluate definite integrals using the fundamental theorem of

calculus.

7. Use numerical integration to approximate definite integrals.

8. Apply definite integration to compute area, volumes, arc length

and solve problems in science and related fields.

9. Apply methods of integration, including integration by parts,

partial fractions, and use of tables or a computer algebra system.

**Topics and Scope**

LIMITS AND CONTINUITY

Definition of limit and basic limit theorems, Limits from graphs,

Continuity.

THE DERIVATIVE

Definition and difference quotients, slope of tangent line,

Velocity, acceleration and rates of change, Product, quotient,

and chain rules, Basic differentiation formulas for algebraic,

trigonometric, logarithmic, exponential, inverse trigonometric

and hyperbolic functions, Antiderivatives.

APPLICATIONS OF THE DERIVATIVE

Implicit differentiqtion, Mean value theorem, Differentials, Related

rates, Optimization, Separable differential equation,

Other applications and modeling.

THE INTEGRAL

Rieman sums, Definite Integral, Fundamental Theorem of Calculus.

Integration of polynomial, logarithmic, exponential, and

trigonometric functions, Integration by substitution, Numerical

integration.

APPLICATIONS OF THE INTEGRAL

Area, volumes, arc length, Other applications and modeling.

METHODS OF EVALUATION

Integration by parts, Partial fractions. Use of tables or computer

algebra systems.

**Assignments:**

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% |
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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% |
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Homework problems, Exams | |||

Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations 30 - 70% |
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Performance exams | |||

Exams: All forms of formal testing, other than skill performance exams. | Exams 5 - 25% |
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Multiple choice | |||

Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category 0 - 10% |
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WRITING ASSIGNMENTS |

**Representative Textbooks and Materials:**

Text(s) required of each student will be selected by the department,

a committee of the department, or the responsible instructor from the

books currently available. Choices in the past have included:

CALCULUS and ANALYTIC GEOMETRY 5TH Larson/Hostetler D.C. Heath 1997

CALCULUS, Ostebee, Zorn, Saunders, 1996.