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
- Explain the features of a graph describing phenomena from mechanics by applying calculus.
- Use calculus to examine new, previously un-encountered problems by critically analyzing and evaluating their constituent parts, to construct and explain a logical solution utilizing, and based upon, the fundamental laws of mechanics.
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