The Hebrew University Logo
Syllabus Preparatory math for Odyssey program part 1 - 80306

Print
 
close window close
PDF version
Last update 06-11-2018
HU Credits: 0

Degree/Cycle: 1st degree (Bachelor)

Responsible Department: Mathematics

Semester: 1st Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Dr. Alex Gourevich

Coordinator Email: gurevich@math.huji.ac.il

Coordinator Office Hours: by appointment

Teaching Staff:
Dr. Alex Gourevich

Course/Module description:
Topics in Math required for the University Studies

Course/Module aims:
Prepare students for studying Math at the University

Learning outcomes - On successful completion of this module, students should be able to:
Solve problems in Math

Attendance requirements(%):
85

Teaching arrangement and method of instruction: Lecture

Course/Module Content:
- Sets, Functions, Image, Preimage
- Real functions, Graphs, Equations and Inequalities
- Odd and even functions, increasing and decreasing functions
- Linear and quadratic functions
- Injective and surjective functions, Inverse function
- Polynomial functions, Roots
- Exponential functions, Logarithmic functions
- Unit circle, Radian measure, Sine, Cosine
- Arcsine, Arccosine
- Tangent, Arctangent
- Cartesian coordinates, points, vectors
- Lines, parametric form, intersection point
- Scalar product, projections
- Distance between two points, distance between a point and a line
- Area of parallelogram, area of triangle
- Complex numbers, addition and multiplication
- Absolute value, conjugate and inverse of a complex number
- Polar form of a complex number, de Moivres formula
- Mathematical Induction
- Greatest common divisor, Euclidian algorithm

Required Reading:
No

Additional Reading Material:
No

Course/Module evaluation:
End of year written/oral examination 80 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 10 %
Reports 0 %
Research project 0 %
Quizzes 10 %
Other 0 %

Additional information:
No
 
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.
Print