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Syllabus CALCULUS FOR LIFE SCIENCE MAJORS A - 71022
עברית
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Last update 20-10-2022
HU Credits: 3

Degree/Cycle: 1st degree (Bachelor)

Responsible Department: Environmental Economics & Management

Semester: 1st Semester

Teaching Languages: Hebrew

Campus: Rehovot

Course/Module Coordinator: Dr. Anna Gourevitch

Coordinator Email: anna.gourevitch@mail.huji.ac.il

Coordinator Office Hours: 13-14

Teaching Staff:
Dr. Anna Gourevitch,
Mr. Zvi Prissman

Course/Module description:
Real numbers, sets of real numbers. Functions and function notation, polynomial function, rational function, power function.
Limits, infinite limits, limits at infinity. Continuity of a function. Derivatives, L'Hospital's Rule. Investigating functions using derivatives. Primitive function and non definite integral. Introduction to ordinary differential equations.

Course/Module aims:
Introduce the functions of a single variable; Define limits; Define the derivative; Investigate functions.
Calculate Integrals, Solve simple ODE.

Learning outcomes - On successful completion of this module, students should be able to:
Calculate limits of single variable functions; Calculate derivatives; Investigate functions;
Calculate Integrals, Solving simple ODE.

Attendance requirements(%):
100

Teaching arrangement and method of instruction: lectures and exersices

Course/Module Content:
1. The real numbers, sets of numbers.
2. The function-Domain, Image ,Bounded functions
Monotonic functions ,Odd and Even functions.
3. Limits.
4. Continuity.
5. Derivatives, the slope of tangent line. Differentiation rules, chain rule,
higher order derivatives.
L'Hospital's Rule.
6. Investigation of functions: critical points and extreme values, increasing and decreasing intervals, asymptotes.
7. Non definite integral, introduction to ordinary differential equations.

Required Reading:
Lectures and exercises of the course

Additional Reading Material:

Grading Scheme :

Additional information:
The students must submit at least 75% of the exercises.
 
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.
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