# PHYS 2AM: GENERAL PHYSICS: CALCULUS SUPPLEMENT

## Foothill College Course Outline of Record

Heading | Value |
---|---|

Effective Term: |
Summer 2022 |

Units: |
1 |

Hours: |
1 lecture per week (12 total per quarter) |

Prerequisite: |
MATH 1A or 1AH. |

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

Degree & Credit Status: |
Degree-Applicable Credit Course |

Foothill GE: |
Non-GE |

Transferable: |
CSU/UC |

Grade Type: |
Letter Grade Only |

Repeatability: |
Not Repeatable |

## 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.

## 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 to momentum/impulse problems
- Calculate quantities involved in rotational motion
- Solve problems involving Newtonian gravity
- Interpret simple harmonic oscillators in terms of differential equations

## Course Content

- 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

- Review of derivatives
- 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

- F=ma with forces that are a function of position
- Apply calculus to work-energy problems
- Potential energy of non-constant forces
- Power
- Energy diagrams

- Apply calculus to 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

## Lab Content

Not applicable.

## Special Facilities and/or Equipment

When taught via Foothill Global Access, on-going access to computer with email software and hardware; email address.

## Method(s) of Evaluation

Methods of Evaluation may include but are not limited to the following:

Weekly assignments

Midterms

Final examination

## Method(s) of Instruction

Methods of Instruction may include but are not limited to the following:

Lecture

Demonstration

## Representative Text(s) and Other Materials

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

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

- 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.
- One hour per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.

## Discipline(s)

Physics/Astronomy