The IB Math Analysis
Standard level (SL) calculus portion is the most important part in the new
specification (2019 IB syllabus). The Calculus portion is divided into
Differential Calculus and Integral Calculus. Mr. Vikram has outlined the
tutoring plan that will be followed at Gore’s Tutoring Dubai for Calculus
lessons.
The Differential Calculus is
divided into 4 parts:
1) Basic Differentiation that includes introduction to differential calculus
with topics such as rates of change, instantaneous rates of change, limits,
gradient of tangent, derivative function, first principles etc Mr. Vikram has
made videos and presentations for these topics besides classroom learning
sessions so that students get the real idea of what differentiation actually
means!
2) In the second part, the students learn rules of differentiation that
include basic rule, chain, product, and quotient rules. The students then learn
derivatives of exponential, logarithmic, trigonometric functions and apply
these rules in solving questions that contain these functions. The students are
also introduced the second derivative and its significance in this part.
3) In the third part, we will focus on the properties of curve and learn how
to apply differentiation for tangents, normal, increasing / decreasing
functions, stationary points, shape, inflection points, learning how to solve
different function questions from IB exam style questions.
4) In this final part of differentiation, we look at applying differential
calculus to real world applications. Basically, the students will cover Rates
of change and Optimization topics in this part.
Please note: After these 4 sections, a
test will be administered and marked by Gore’s tutors. Feedback will be sent to
the parents.
For more details on IB Math Analysis tutoring course in Dubai
Call 052 768 95 65 / 050 90 21 727
The Integral Calculus
portion is divided into parts:
1) Introduction to integration: basic idea of area under the curve using the
idea of limits, Riemann sums/ integral, idea of integration being anti-differentiation,
understanding Fundamental theorem of Calculus.
2) In the second part, students will learn the techniques of integration that
include rules, particular values (understanding Ln IxI + c), integrating
f(ax+b) types, integration by substitution. This section has lot of questions
that every student needs to attempt especially the “integration by substitution”
topic. This topic needs more practice on the part of the students. We have
prepared IB exam style questions on this topic. There will be a separate test
on this topic prepared by Mr. Vikram.
3) The next part is the Definite Integrals that include the areas under and above
the curves, Area between two functions, problem solving using integration. Mr.
Vikram has prepared separate worksheets as well as drills for each of these
topics.
Please note: After these 3 sections, a
test will be administered and marked by Gore’s tutors. Feedback will be sent to
the parents.
FINAL PART: After completing the 4
parts in Differentiation and 3 parts in Integration, we then move to the final
part that involves using both the differentiation and integration in solving
problems in Kinematics. The questions revolve around Displacement, Velocity,
speed, acceleration etc. Questions involve graphs, understanding the difference
between velocity and speed, Displacement and Distance. Mr. Vikram will give
brief introduction of Physics concepts (GCSE / year 10 level) to the students
before they start learning these topics.
After this section, we will
be handing out Home Assignments / worksheets for Kinematics. These worksheets
will be marked and evaluation will be done by Mr. Vikram. He may suggest
remedial lessons in case the student does not perform optimally.
For more details on IB Math
Analysis tutoring course in Dubai, kindly contact us :
gorestutoring@gmail.com or whatsapp 052
768 95 65 / 050 90 21 727
