Search Results
Your search for courses · during 2024-25 · taught by jjohnson16 · returned 5 results
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MATH 111 Introduction to Calculus 6 credits
An introduction to the differential and integral calculus. Derivatives, antiderivatives, the definite integral, applications, and the fundamental theorem of calculus.
Not open to students who have received credit for MATH 101
- Fall 2024, Spring 2025
- FSR, Formal or Statistical Reasoning
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Student has received a score of 111 on the Carleton Math Placement exam. Not open to students who have received credit for Mathematics 101 or received a score of 4 or better on the Calculus AB AP exam or received a score of 4 or better on the Calculus BC AP exam or received a score of 5 or better on the Calculus IB exam or received a Carleton Math 111 or better Requisite Equivalency. For more information, see the Mathematics' web page.
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MATH 241 Ordinary Differential Equations 6 credits
Ordinary differential equations are a fundamental language used by mathematicians, scientists, and engineers to describe processes involving continuous change. In this course we develop ordinary differential equations as models of real world phenomena and explore the mathematical ideas that arise within these models. Topics include separation of variables; phase portraits; equilibria and their stability; non-dimensionalization; bifurcation analysis; and modeling of physical, biological, chemical, and social processes.
- Winter 2025
- FSR, Formal or Statistical Reasoning
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Student must have completed any of the following course(s): MATH 134 or MATH 232 AND MATH 120 or MATH 211 with a grade of C- or better or equivalents.
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MATH 295 Numerical Differential Equations 6 credits
An introduction to numerical methods to compute approximate solutions of differential equations. Material will be selected from a range of topics such as error analysis, numerical differentiation, Euler and Runge-Kutta methods, predictor-corrector methods, boundary value problems, and curve fitting. Applications to other subjects such as physics, chemistry, ecology, epidemiology and neuroscience will be covered. Programming experience is not required.
- Fall 2024
- FSR, Formal or Statistical Reasoning QRE, Quantitative Reasoning
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Student has completed any of the following course(s): MATH 134 or MATH 232 with a grade of C- or better or received a score of 232 or better on the Carleton Math Requisite Equivalency exam.
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MATH 341 Partial Differential Equations 6 credits
An introduction to partial differential equations with emphasis on the heat equation, wave equation, and Laplace’s equation. Topics include the method of characteristics, separation of variables, Fourier series, Fourier transforms and existence/uniqueness of solutions.
- Spring 2025
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 241 with grade of C- or better.
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MATH 400 Integrative Exercise 3 – 6 credits
Either a supervised small-group research project or an individual, independent reading. Required of all senior majors.
- Winter 2025, Spring 2025
- No Exploration
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Student has a program of study in MATH AND has Senior Priority AND has completed any of the following course(s): MATH 236 or equivalent AND three courses from any Math course higher than MATH 236, CS 252 or equivalent, CS 254, CS 352, STAT 250, STAT 320 or STAT 340 with a grade of C- or better.