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Calculus (University & High School Level) Inspired by IB MATH AAHL & TU/e's Calculus Variant 2 Course (2WBB0)
This course offers a comprehensive introduction to calculus, emphasizing the foundational mathematical concepts and tools essential for further studies in mathematics and related fields. Topics include limits, differentiation, and integration, approached with clarity and structure. The course is designed to begin from the absolute fundamentals—starting with numbers and functions—and progressively build up to advanced topics such as optimization, related rates, and linear differential equations.
Course Outline:
1.1 Numbers, Functions, (In-)equalities, Polynomials, Rational Functions
1.2 Trigonometric Functions, Vectors in Two and Three Dimensions
1.3 Limits, Continuity, Introduction to Differentiation
1.4 Differentiation Rules and Theorems: Power Rule, Product Rule, Chain Rule
1.5 Derivatives of Exponential, Logarithmic, and Trigonometric Functions, Taylor Series
1.6 Implicit Differentiation and Derivatives of Inverse Functions
1.7 Intermediate Value Theorem, Critical Points, Maxima and Minima
1.8 First and Second Derivative Tests, Inflection Points
1.9 Antiderivatives, Indefinite Integrals, Integration by Substitution and by Parts
1.10 Definite Integrals and Their Applications (e.g., Area Between Curves, Related Rates)
1.11 Optimization, Related Rates, and Linear Differential Equations
This syllabus is inspired by the IB Mathematics: Analysis and Approaches HL curriculum and incorporates elements from the Technical University of Eindhoven’s Calculus Variant 2 Course (2WBBO).
This course is designed with adaptability in mind, ensuring it meets the unique needs of each student. Topics can be explored in greater depth where needed, and the style of instruction can be tailored to align with the student’s preferred pace and learning approach. The ultimate goal is to create a supportive, engaging, and effective learning environment.
The first session will be dedicated to setting clear goals and understanding what the student hopes to achieve through these tutoring sessions. Together, we will develop a personalized study plan that systematically addresses all key areas of calculus—placing additional focus on topics where the student may feel less confident—while maintaining a strong emphasis on clarity, efficiency, and progress.
Course Outline:
1.1 Numbers, Functions, (In-)equalities, Polynomials, Rational Functions
1.2 Trigonometric Functions, Vectors in Two and Three Dimensions
1.3 Limits, Continuity, Introduction to Differentiation
1.4 Differentiation Rules and Theorems: Power Rule, Product Rule, Chain Rule
1.5 Derivatives of Exponential, Logarithmic, and Trigonometric Functions, Taylor Series
1.6 Implicit Differentiation and Derivatives of Inverse Functions
1.7 Intermediate Value Theorem, Critical Points, Maxima and Minima
1.8 First and Second Derivative Tests, Inflection Points
1.9 Antiderivatives, Indefinite Integrals, Integration by Substitution and by Parts
1.10 Definite Integrals and Their Applications (e.g., Area Between Curves, Related Rates)
1.11 Optimization, Related Rates, and Linear Differential Equations
This syllabus is inspired by the IB Mathematics: Analysis and Approaches HL curriculum and incorporates elements from the Technical University of Eindhoven’s Calculus Variant 2 Course (2WBBO).
Extra information
Flexibility and Personalization:This course is designed with adaptability in mind, ensuring it meets the unique needs of each student. Topics can be explored in greater depth where needed, and the style of instruction can be tailored to align with the student’s preferred pace and learning approach. The ultimate goal is to create a supportive, engaging, and effective learning environment.
The first session will be dedicated to setting clear goals and understanding what the student hopes to achieve through these tutoring sessions. Together, we will develop a personalized study plan that systematically addresses all key areas of calculus—placing additional focus on topics where the student may feel less confident—while maintaining a strong emphasis on clarity, efficiency, and progress.
Location
Online via webcam
General info
Age: | Teenagers (13-17 years old) Adults (18-64 years old) Seniors (65+ years old) |
---|---|
Student level: | Beginner Intermediate Advanced |
Duration: | 60 minutes |
The class is taught in: | Dutch, English |
Hey There!
About Me:
I am Shrika, a former IB student who has recently passed IB in 2024. Of the 6 subjects I have taken, I am most profound in mathematics followed by geography at higher level. Currently I am a university student at the Technical University of Eindhoven pursuing Data Science at a bachelor's level.
What I offer:
Considering the challenging math I have encountered during my IB years along with my current university course, I am quite comfortable with mathematics and am looking to provide mathematics lessons for individuals who are especially in the IB curriculum. I can provide classes for Math AISL , AASL and AAHL students. Of course, due to the nature of the course, I am proficient to teach students who are younger such as in primary or secondary school as IB is a course for high school students.
What the course offers:
As I have hinted out in the previous section, the course is tailored to the student itself. IB students don't need to worry as I have materials and classes already prepared. If you are a student not following the IB curriculum but can provide a textbook in mathematics for me to teach from, that is possible too! Feel free to contact me to discuss further details!
Ask a question
Send a message explaining your needs and Shrika will reply soon:
The more detail, the better.
Ex. "Hi, when are you available to meet for a lesson?"
Ex. "Hi, when are you available to meet for a lesson?"
Availability of a typical week
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from 33€Online via webcam
100% Satisfaction Guarantee
Good-fit Instructor Guarantee
If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.
Online reputation
- Instructor since May 2024
- 1 repeat student
- Phone number verified
- Google connected
Availability of a typical week
(GMT -04:00) New York
Mon | Tue | Wed | Thu | Fri | Sat | Sun | |
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0 | |||||||
1 | |||||||
2 | Monday at 2:00 | Tuesday at 2:00 | Wednesday at 2:00 | Thursday at 2:00 | Friday at 2:00 | Saturday at 2:00 | Sunday at 2:00 |
3 | Monday at 3:00 | Tuesday at 3:00 | Wednesday at 3:00 | Thursday at 3:00 | Friday at 3:00 | Saturday at 3:00 | Sunday at 3:00 |
4 | Monday at 4:00 | Tuesday at 4:00 | Wednesday at 4:00 | Thursday at 4:00 | Friday at 4:00 | Saturday at 4:00 | Sunday at 4:00 |
5 | Monday at 5:00 | Tuesday at 5:00 | Wednesday at 5:00 | Thursday at 5:00 | Friday at 5:00 | Saturday at 5:00 | Sunday at 5:00 |
6 | Monday at 6:00 | Tuesday at 6:00 | Wednesday at 6:00 | Thursday at 6:00 | Friday at 6:00 | Saturday at 6:00 | Sunday at 6:00 |
7 | Monday at 7:00 | Tuesday at 7:00 | Wednesday at 7:00 | Thursday at 7:00 | Friday at 7:00 | Saturday at 7:00 | Sunday at 7:00 |
8 | Monday at 8:00 | Tuesday at 8:00 | Wednesday at 8:00 | Thursday at 8:00 | Friday at 8:00 | Saturday at 8:00 | Sunday at 8:00 |
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from 33€Online via webcam
Good-fit Instructor Guarantee
If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.
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