Effective: Fall 2012 | |||||

PHYS 2AM | GENERAL PHYSICS: CALCULUS SUPPLEMENT | 1 Unit(s) | |||

Prerequisites: Prerequisite: MATH 1A. | |||||

Corequisites: Corequisite: Completion of or concurrent enrollment in MATH 1B and PHYS 2A. | |||||

Grade Type: Letter Grade Only | |||||

Not Repeatable. | |||||

FHGE: Non-GE Transferable: CSU/UC | |||||

1 hour lecture. (12 hours total per quarter) | |||||

Student Learning Outcomes -- The student will be able to apply derivatives to problems in kinematics, dynamics, energy, momentum and related topics
- The student will be able to apply integrals to problems in kinematics, dynamics, energy, momentum and related topics.
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Description - | ||

Application of calculus to physics topics and problems in mechanics. | ||

Course Objectives - | ||

The student will be able to: - Apply calculus to problems in kinematics.
- Solve F=ma problems with Non-Constant Forces
- Apply calculus to Work-Energy problems
- Apply calculus Momentum/Impulse problems
- Calculate quantities involved in rotational motion
- Solve problems involving Newtonian Gravity
- Interpret Simple Harmonic Oscillators in terms of differential equations
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Special Facilities and/or Equipment - | ||

None. | ||

Course Content (Body of knowledge) - | ||

- Apply calculus to problems in kinematics.
- Review of Derivatives
- Concept of a Limit
- Concept of a Derivative
- Derivatives of Polynomials
- Derivatives of Other Functions
- Product Rule and Chain Rule
- Velocity and Acceleration with Derivatives
- Definitions of Average Velocity and Acceleration
- Velocity and Acceleration as Derivatives
- Graphical Interpretations
- Review of Integration
- Indefinite Integrals
- Definite Integrals
- Kinematics with Integration
- Position and Velocity from Acceleration
- Formulae for Constant Acceleration
- Graphical Interpretations
- Solve F=ma problems with Non-Constant Forces
- F=ma with Forces that are a function of position
- The General Approach
- Hooke's Law
- 1/r^2 Forces
- Velocity-Dependent Forces
- Drag Proportional to Velocity
- Drag Proportional to the Square of Velocity
- Apply calculus to Work-Energy problems
- Potential Energy of Non-Constant Forces
- Power
- Energy Diagrams
- Apply calculus Momentum/Impulse problems
- Impulse
- Momentum with changing mass
- Calculate quantities involved in rotational motion
- Relationship to Linear Mechanics
- Center of Mass
- Moment of Inertia Calculations
- Solve problems involving Newtonian Gravity
- Work
- Potential energy
- Interpret Simple Harmonic Oscillators in terms of differential equations
- What is a Differential Equation?
- Solutions to a Second-Order Differential Equation
- The Role of Initial Conditions
- Energy in Simple Harmonic Oscillators
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Methods of Evaluation - | ||

- Weekly assignments
- Midterms
- Final examination
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Representative Text(s) - | ||

Instructor-generated materials. Text at the level of Halliday and Resnick optional. | ||

Disciplines - | ||

Physics | ||

Method of Instruction - | ||

Lecture, Demonstration. | ||

Lab Content - | ||

Not applicable. | ||

Types and/or Examples of Required Reading, Writing and Outside of Class Assignments - | ||

Homework Problems: Homework problems covering subject matter from text and related material ranging from 5-15 problems per week. Students will need to employ critical thinking in order to complete assignments. Lecture: One hour per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes. |

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