MitchCampbell Posted December 9, 2009 Report Share Posted December 9, 2009 (edited) As you may have seen, I have done some Youtube videos geared specifically towards IB Math SL and IB Physics. I had been going through past exam questions, showing exactly how to solve them step by step. However, I was notified by the IB that I must take them down, and so I had to comply. My intention was to help you all out in any way I could. I’ve been an IB teacher for many years, and enjoy helping out more than just my own students. With this in mind, I am willing to do a series of Youtube videos about specific topics within the IB Math SL curriculum. So if there are specific topics that you’d like to see done in detail with lots of examples, just post it in this thread. I’ll take a look and see if there is any overwhelming consensus on any topics, and then start doing videos on those ones. I can go over an entire topic or just focus on a specific area within a topic. Just post your request and I’ll see what I can do. Keep in mind there’s only one of me, so I will do topics that have overwhelming request for them. I am working as well as studying for my M.Sc. in Astrophysics, and so extra time is quite limited. If I don’t get to your request right away, just be patient. I’ll get to as many as I can. -MitchMath SL topics:Topic 1 – Algebra Sequences and series Exponents and logarithms Binomial ExpansionTopic 2 – Functions and Equations Function notation Domain, range Transformations of functions Reciprocal function Inverse Quadratic functions (vertex form, axis of symmetry, intercepts, solving algebraically and by factoring, quadratic equation, discriminant) Solving exponential and logarithmic equationsTopic 3 – Circular functions and trigonometry Circle: radians, arc length, sector area Sin, Cos, Tan, Pythagorean identity Double angle formulae Graphing Sin, Cos, Tan (using transformations) Solving Trigonometric equations Triangles: sine rule, cosine rule, area of any triangleTopic 4 – Matrices Element, row, column, order Algebra with matrices: adding, subtracting, multiplying by a scalar Multiplying matrices Identity and zero matrices Determinant of a 2x2 and 3x3 matrix Inverse of a 2x2 matrix Solving a system of linear equations using matricesTopic 5 – Vectors General definitions, components Adding and subtracting vectors, zero vector, significance of the minus sign Multiplying by a scalar Magnitude (length) of a vector Unit vectors (i, j, k notation) Position vectors Scalar product (also called ‘dot product’) of two vectors: angle between vectors Perpendicular and parallel vectors Vector representation of a line, angle between two lines Finding intersection pointsTopic 6 – Statistics and probability Population, sample, random sample, frequency distribution of discrete and continuous data Frequency tables and diagrams, box and whisker plots, intervals Mean, median, mode, quartile, percentile, range Standard deviation and variance Cumulative frequency graphs to find median, quartile, percentile Trial, outcomes, sample space, events Probability of events occurring, complementary events Combined events (using ‘and’, ‘or’) Mutually exclusive events Conditional Probability Independent events Venn diagrams, tree diagrams, tables of outcomes Discrete random variable, probability distributions Expected value, E(x) for discrete data Binomial distributions Normal distributions Standard normal variables (includes Z-values)Topic 7 – Calculus Limit, convergence General definition of a derivative Derivative of simple functions, as well as sin, cos, tan, ln, e Derivative as a rate of change Differentiation of a sum and multiples of functions Chain rule, product rule, quotient rule for derivatives Second derivative Local max, min, using derivatives for optimization Integrals (indefinite integral, anti-derivative) More complicated integrals: for example – sin(3x-2) Definite integrals, boundary conditions, constant term Areas under curves, areas between curves Volumes of revolution Kinematics problems (physics questions) using displacement, velocity, acceleration Graphing functions using calculus (asymptotes, using inflection points and max and min points) Edited December 9, 2009 by MitchCampbell 3 Reply Link to post Share on other sites More sharing options...
Ilovephysics Posted December 30, 2009 Report Share Posted December 30, 2009 too bad they had to be taken down, I saved them on my favourites to study for exams. vectors and applications of differential calculus would be very helpful. thanks Reply Link to post Share on other sites More sharing options...
Mmaatt Posted January 28, 2010 Report Share Posted January 28, 2010 I agree, vectors and applications of calculus would be great. And is there anyway we can see these videos now?Thanks Reply Link to post Share on other sites More sharing options...
deissi Posted January 28, 2010 Report Share Posted January 28, 2010 Unfortunately IB saw these videos as copyright infringement so they were taken down. Reply Link to post Share on other sites More sharing options...
meenaa Posted August 13, 2013 Report Share Posted August 13, 2013 Hi, Can i see video on you-tube? What is id? Can you please upload Circular functions please thanks meena Reply Link to post Share on other sites More sharing options...
Guest Viska Posted September 29, 2013 Report Share Posted September 29, 2013 Hi, Can i see video on you-tube? What is id? Can you please upload Circular functions please thanks meena Hi Meena, Luckily he has a website called studynova.com It's all in there :D 1 Reply Link to post Share on other sites More sharing options...
J500 Posted November 1, 2013 Report Share Posted November 1, 2013 (edited) For me, anything to do with graph sketching (using calculus AND sin/cos/tan), applications of calculus, and statistical distribution would be of great help!! Edited November 1, 2013 by FJ500 Reply Link to post Share on other sites More sharing options...
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.