IB 수학 방학특강

Outcome : Students will be able to obtain strong understanding on IB mathematics,Also, by exclusively going through some of exam questions during class as well as the test hour after class, students will be prepared for their school test as well as for the May exam,Extensive use of calculator will be taught during class, starting from how to sketch well to applying N-solver. We will always have some warm-up questions to test their understanding with prior materials, 참여가능 학생수 : 0 시간표 : 그루미 IB 방학특강 스케줄
위치 : 그루미학원
기간 : 2022-2-13 2100-1-1
참여금액 :

수업 교재/ Teaching materials

Haese Publication
Oxford Publication
Cambridge Publication
IBID Publication
Pearson Publication

실력 테스트

*Test paper will be sent out individually upon subscription.

* We have a set curriculum, yet the day could change accordingly in some circumstances.

* All the class has certain grade boundaries. You will see the level of understanding required during the test. You are encouraged to pass 70%.

* if the student does not pass the test above 70%, they are more than welcome to have classes before joining the winter class. Class is available on Tuesday and Thursday.

DP 1:

Lesson number does not imply the class number. Our aim is to cover

Lesson	Subject	What we do
3 classes	Functions and transformations	We will be focusing on learning essential and fundamental parts of mathematics; functions. By defining and examining through 4 key functions, students will be able to apply the concept to exam questions as well as other parts of mathematics, such as Calculus
5 classes	Sequence and Series/Induction/Binomial	We will be focusing on Sequence and Series, Induction, BInomial Expansion, Permutation and Combination, Polynomial and Remainder THeorems. This session will focus on exam skills and the extensive use of calculator. The sequence and Series questions appear quite often for the past recent years, so we will be going through some predictable questions in the future.
2 classes	Log and Exponents	We will spend an hour going over Exponential and Logarithmic functions and equations. We will be going through 7 essential laws of logarithmic functions. We will also have a look at modeling with exponential growth and decay, allowing us to use the Half-Life. Then we will move to the chapter Complex. In Complex, we will focus on the benefit of being able to convert 3 different forms of complex values.
5 classes	Trigonometry	We will be focusing on Trigonometry. Trigonometry is one of the essential parts of IB mathematics. Its use and application is almost everywhere, hence strong emphasis will be made. From Laws of Cosine and Sine in 3D case to the Compounded angle and its advanced questions, students will be able to enjoy their exam style questions of trigonometry and the use of calculator to solve for paper 2 style questions.
1 class	Differentiati I	We will be focusing on first part of Calculus: Differentiation. We will learn major rules of differentiation as well as the applications. Students will be able to enjoy exam style questions regarding calculus, as well as applying the understanding from previous periods to build up an equation to differentiate with. We will also learn the techniques of applying calculator to achieve certain points for the derivative.
1~1.5 classes	Differentiation II	we will go over advanced understanding of limit and use the concept of first principle to proof the derivatives of certain functions, such as polynomial and trigonometry. We will also prove rules of differentiations and apply them accordingly.
3~4 classes	Differentiation II	we will investigate the use of differentiations for sketching graphs Optimization Related rates You are expected to have extensive understanding of trigonometry as well as function sketching.

Detailed curriculum is written by the following link: https://drive.google.com/open?id=17jow1V4DRwZorfEqCZJ7LiHjvzadyDes Please visit and state the contents you want to cover.

DP2

Lesson	Subject	What we do
1~2 classes	Calculus I: DIfferentiation. How to differentiate all types of functions and its applications to analyze shapes, related rates and optimization	we will go over advanced understanding of limit and use the concept of first principle to proof the derivatives of certain functions, such as polynomial and trigonometry. We will also prove rules of differentiations and apply them accordingly.
1 class	Differentiation II	we will investigate the use of differentiations for sketching graphs Optimization Related rates You are expected to have extensive understanding of trigonometry as well as function sketching.
2 clases	Integration	Calculus II: Integration. How to distinguish a method to integrate for certain functions. We will also learn the technique of integrations such as integration by substitution Trigonometric identities to integrate Integration by parts
3 classes	Integration 2	Learning the application of integration with area, volume and kinematics area and volume between two curves Kinematics and Calculus Rates and the quantity with the integration
1 class	complex 1	Complex I: Learning 3 different forms of complex to work out coordinates and exact angles Induction II: How to apply induction for fields of calculus, trigonometry and complex
2~3 classes	complex 2	Complex II: Proving and Applying De Moirvre’s Theorem for angles, values and integration. Roots of unity with the sum and product of roots, as well as Fundamental Theorem of Algebra
1 class	Vector 1	we will go over vector definition, and continue to learn with the algebra of vectors and how the operations could be translated in geometry
3 classes	Vector 2	Vector: Learning Lines and Planes, Measuring angles and distances. How to create a vector equations with given information, application with kinematics
1~2 classes	Probability	Probability: 7 Essential Laws of probability and proving independence. Conditional probability as well as Bayes THeorem
5 classes	Statistics	Statistics: Distinguishing Discrete and Continuous Random Variables, learning statistics parametres such as Expected Value and Variance. Learning key distributions as well combining them together.
1 class	Limit and Continuity	Definition of limit Squeeze Theorem L’Hpital’s Rule
1 class	Limit and Continuity	Continuous Function Differentiable Functions Intermediate Value Theorem Rolle’s Theorem Mean Value Theorem
1 class	Improper Integrals	Fundamental Theorem of Calculus Convergent and divergent improper integrals Approximation of Integrals series
1 class	Infinite Series	Convergent Series 6 tests of infinite series Power series
1 class	Infinite Series	6 tests of infinite series Power series
2 classes	Maclaurin and Taylor Series	Maclaurin Series definition Applications Finding limit differentiation/integration Approximations to the Maclaurin series
2 classes	Taylor Series	Taylor Series Applications Lagrange error term Approximations Integration
1 class	Differential Equations 1	Definition of differential equations Separation of variables Homogeneous differential equations Law of cooling
1 class	Differential Equations 2	Linear differential equations Integrating factor Approximations to solutions Euler’s Methods Slope fields

Things to prepare:

If they struggle with prerequisite materials, such as functions, sequences and series, trigonometry and other fields they feel lacking, they are encouraged to take the following options
1. Have 1:1 class online
2. Refer to Gurume 인강 to improve their understanding
We will go over how the class is conducted in the first class. All the materials will be uploaded on google classroom. Homework and solution will be given accordingly.
Test is given every week and the student needs to hand in the next Wednesday. They will be tested 3 subjects during the winter.

IB 수학 방학특강

선생님 : IB 화학 온라인/면대면@역삼역 수업을 전문적으로 진행하고 있습니다. 출판 예정인 그루미 IB 화학 노트/문제집으로 수업을 진행합니다. 학생이 열심히 하기만 하면 성적 향상 드릴 수 있습니다.

선생님 :
IB 화학 온라인/면대면@역삼역 수업을 전문적으로 진행하고 있습니다. 출판 예정인 그루미 IB 화학 노트/문제집으로 수업을 진행합니다. 학생이 열심히 하기만 하면 성적 향상 드릴 수 있습니다.