Department of Mathematics Syllabus
This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.
MAT 19C: Calculus for Data-Driven Applications
Approved: 2023-03-21, J. De Loera and R. Thomas
Suggested Textbook: (actual textbook varies by instructor; check your instructor)
“Finite Mathematics & Applied Calculus,” 8th edition, by Waner & Costenoble (Cengage); “Biocalculus,” 1st edition, by Stewart & Day (Cengage)
MAT 19B with C- or above
Calculus and other mathematical methods necessary in data driven analysis in the sciences, technology and the humanities.
|1-3||15.1||WC||Functions of several variables|
|5-6||15.3||WC||Maxmima & minima|
|7-8||15.4||WC||Constrained maxima and minima|
|9-11||Logistic regression, least squares, machine learning models|
|12-13||14.6||WC||Solutions of elementary & separable differential equations|
|14||14.6||WC||Linear first-order differential equations|
|16-18||10.1-10.3||SD||Linear systems of differential equations|
|19-22||10.4, 7.6||SD||Non-linear systems of differential equations|
|23-24||Applications of differential equations|
|25-27||Use remaining lectures as buffer for material above and/or to cover optional material from 15.5: Double integrals & applications|
This course includes weekly 2-hour lab meetings in which students will use R to analyze real data in order to deepen their understanding of course material.
Upon completion of this course, students will be able to
- model financial and economic processes using functions of several variables,
- use functions of several variables to model and understand data,
- calculate and interpret partial derivatives,
- identify extrema of functions of several variables,
- model financial and economic processes using differential equations,
- solve differential equations,
- determine equilibria of systems of differential equations and analyze their stability,
- interpret solutions to differential equations in an economic or financial context, and
- use differential equations to model and understand data.