A theoretical treatment of classical mechanics of particles and systems of particles with emphasis on the conservation laws of energy, momentum, and angular momentum. Particular topics in Newtonian, celestial, and continuum mechanics are studied. Vector calculus is developed and used as needed.
Three lectures per week.
Prerequisite(s): PHYS 101 Principles of Physics I or PHYS 111 General Physics I, MATH 106 Calculus II, and computer programming skills or permission of the instructor.
Corequisite(s): MATH 204 Calculus III or MATH 224 Differential Equations or permission of the instructor.
PHYS 101 Principles of Physics I (4 hours)
The principles of classical mechanics, energy and motion designed for majors in the natural sciences. Algebra and trigonometry will be used in descriptions and problems.
Three 2-hour workshop sessions per week.
Corequisite(s): MATH 050 Pre-Calculus or permission of the instructor.
(Normally offered each fall semester.)
PHYS 111 General Physics I (4 hours)
An introduction to classical mechanics, energy and motion designed for majors in the natural sciences. Elements of calculus will be used in descriptions and problems.
Three 2-hour workshop sessions per week.
Corequisite(s): MATH 060 Calculus for Management, Biological, and Social Sciences or MATH 105 Calculus I or permission of the instructor.
MATH 106 Calculus II (5 hours)
A continuation of Mathematics 105. Topics studied include integration techniques and applications, differential equations, numerical approximations, sequences and series, and vectors. Assignments are given that help build proficiency in the use of a computer algebra system.
Prerequisite(s): Permission of department or grade of "C" or better in MATH 105 Calculus I.
(Normally offered each semester.)
MATH 204 Calculus III (4 hours)
An introduction to multivariable calculus. Topics include vector-valued functions, functions of several variables, partial differentiation, multiple integrals, and analysis. Assignments are given that help build proficiency in the use of a computer algebra system.
Prerequisite(s): Permission of department chair or grade of "C" or better in MATH 106 Calculus II.
(Normally offered each fall semester.)
MATH 224 Differential Equations (4 hours)
A study of ordinary differential equations. Topics include first and higher order, and linear and nonlinear differential equations with applications. Additional topics may be chosen from systems of differential equations, transform techniques, and numerical methods. Use will be made of a computer algebra system.
Prerequisite(s): Grade of "C" or better in MATH 106 Calculus II.
(Normally offered each spring semester.)
