  
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 NonConstant Forces
 Apply calculus to WorkEnergy 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

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 NonConstant Forces
 F=ma with Forces that are a function of position
 The General Approach
 Hooke's Law
 1/r^2 Forces
 VelocityDependent Forces
 Drag Proportional to Velocity
 Drag Proportional to the Square of Velocity
 Apply calculus to WorkEnergy problems
 Potential Energy of NonConstant 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 SecondOrder Differential Equation
 The Role of Initial Conditions
 Energy in Simple Harmonic Oscillators

Methods of Evaluation  
  Weekly assignments
 Midterms
 Final examination

Representative Text(s)  
 Instructorgenerated materials. Text at the level of Halliday and Resnick optional.

Disciplines  
 Physics/Astronomy


Method of Instruction  
 Lecture, Demonstration.


Lab Content  
 Not applicable.


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 515 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.
