1 revision paper Final Exam Tutorials Communication 15 Lecture in math 1 revision paper Final Exam Tutorials Communication

Administration

Giving back homework

Tutorials attendance

This Lecture Attendance

The actual lecture

Numbers Natural Integer Rational Irrational Real (include all the above) Complex (include all the above)

Fractions

Heaviside method

Eigenvalues

Algebra

Whole squared Squares difference Cubes sum and difference

Continuity Try to use continuous math because it is easier than the discrete math.

Limit

Missed Limits from Bahasa presentation

Inequalities

To solve the inequalities, graph the functions

To graph functions, you need to know functions, limits, derivatives, etc.

Functions

Algebraic functions

Transcendental functions

Graphing functions

Functions composition

Implicit function

Linear functions

Parallel lines

Perpendicular lines

Find the equations of parallel and perpendicular lines to y = 3x – 9 passing through the point (5, 2)

Quadratic functions

parabola (para+bola)

hyperbola (hyper+bola)

Ellipse

circumference

Vertices Foci Convexity Concavity

Many variables functions

Polar coordinates

Cylindrical coordinates

Spherical coordinates

3-D shapes

Complex valued functions

Euler equation

Modeling

Least squares

Exponential growth

Logarithmic scale

Professor Ismail’s models

Biological modeling

Predator-prey model

Lotka–Volterra equation The Lotka–Volterra equations, also known as the predator–prey equations, are a pair of first-order, non-linear, differential equations frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey.

Logistic growth model

Complexity in biology

Fractals

Business modeling

Economics modeling

Financial math

Probability

Statistics

Stochastic processes

Order vs. chaos

Black-Scholes model

Derivative

Derivative as a limit

Derivatives for graphs plotting

Minimum, Maximum, concavity, convexity, Inflection through derivatives

Properties of derivatives (fg)’ (f/g)’ etc.

Derivatives proofs

Differentiability

|x| derivative

Partial derivative

Total derivative

Inverse function derivative

Implicit function derivative

Applications of derivatives

Integral

Integral as a limit

Integrals are more complex than derivatives

Indefinite integral

Definite integral

Specific integrals

Applications of integration

Optimization

Linear programming (similar to 2D inequalities)

Non-linear programming

Series

π expressions using number series

Functional series

Taylor series

Use computers a lot in math

Graph the functions on the Internet

Find the solvers for limits, derivatives, integrals, etc Find the solvers for limits, derivatives, integrals, etc. on the internet

Textbooks

See if there is anything in the textbooks, which you are interested in but do not understand

Forums

Videos

Decision making

Check your emails

Visit my web sites: biomath.weebly.com etc.

Final Exam

1 revision paper from me

Revision

Total scores for each course (math, physics, etc.)

End of the actual lecture

Recommendations

ASEAN 2015

Accreditation of the University

Email me once a week.

Write how many times you attended tutorials.

Physics Take Home Exam must be completed if you do the physics course, deadline: 5 January 2015.

Firstly, study those topics of the subject, which are the most relevant to your major, so that you constantly practice what you study and do not forget it.

Your own code (computer programs) are expected by the people from you, thus, math is very important everywhere.

Let us meet on 6, 7, 8, 9, 12, 13, 14, 15, 16 January 2015, check the web sites.

Join the research projects

Work through the Internet

Find a Professor on the topic you like the most Find a Professor on the topic you like the most. Cooperate with the Professor the best you can. Get money, recommendations, publications, etc. for the work.

You can have a very enjoyable life if you find interest in math

Enjoy the holiday