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1 revision paper Final Exam Tutorials Communication
15 Lecture in math 1 revision paper Final Exam Tutorials Communication
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Administration
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Giving back homework
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Tutorials attendance
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This Lecture Attendance
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The actual lecture
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Numbers Natural Integer Rational Irrational Real (include all the above) Complex (include all the above)
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Fractions
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Heaviside method
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Eigenvalues
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Algebra
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Whole squared Squares difference Cubes sum and difference
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Continuity Try to use continuous math because it is easier than the discrete math.
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Limit
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Missed Limits from Bahasa presentation
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Inequalities
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To solve the inequalities, graph the functions
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To graph functions, you need to know functions, limits, derivatives, etc.
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Functions
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Algebraic functions
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Transcendental functions
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Graphing functions
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Functions composition
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Implicit function
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Linear functions
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Parallel lines
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Perpendicular lines
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Find the equations of parallel and perpendicular lines to y = 3x – 9 passing through the point (5, 2)
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Quadratic functions
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parabola (para+bola)
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hyperbola (hyper+bola)
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Ellipse
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circumference
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Vertices Foci Convexity Concavity
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Many variables functions
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Polar coordinates
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Cylindrical coordinates
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Spherical coordinates
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3-D shapes
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Complex valued functions
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Euler equation
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Modeling
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Least squares
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Exponential growth
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Logarithmic scale
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Professor Ismail’s models
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Biological modeling
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Predator-prey model
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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.
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Logistic growth model
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Complexity in biology
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Fractals
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Business modeling
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Economics modeling
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Financial math
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Probability
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Statistics
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Stochastic processes
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Order vs. chaos
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Black-Scholes model
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Derivative
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Derivative as a limit
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Derivatives for graphs plotting
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Minimum, Maximum, concavity, convexity, Inflection through derivatives
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Properties of derivatives
(fg)’ (f/g)’ etc.
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Derivatives proofs
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Differentiability
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|x| derivative
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Partial derivative
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Total derivative
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Inverse function derivative
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Implicit function derivative
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Applications of derivatives
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Integral
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Integral as a limit
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Integrals are more complex than derivatives
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Indefinite integral
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Definite integral
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Specific integrals
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Applications of integration
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Optimization
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Linear programming (similar to 2D inequalities)
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Non-linear programming
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Series
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π expressions using number series
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Functional series
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Taylor series
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Use computers a lot in math
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Graph the functions on the Internet
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Find the solvers for limits, derivatives, integrals, etc
Find the solvers for limits, derivatives, integrals, etc. on the internet
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Textbooks
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See if there is anything in the textbooks, which you are interested in but do not understand
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Forums
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Videos
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Decision making
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Check your s
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Visit my web sites: biomath.weebly.com etc.
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Final Exam
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1 revision paper from me
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Revision
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Total scores for each course (math, physics, etc.)
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End of the actual lecture
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Recommendations
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ASEAN 2015
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Accreditation of the University
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me once a week.
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Write how many times you attended tutorials.
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Physics Take Home Exam must be completed if you do the physics course, deadline: 5 January 2015.
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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.
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Your own code (computer programs) are expected by the people from you, thus, math is very important everywhere.
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Let us meet on 6, 7, 8, 9, 12, 13, 14, 15, 16 January 2015, check the web sites.
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Join the research projects
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Work through the Internet
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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.
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You can have a very enjoyable life if you find interest in math
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Enjoy the holiday
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