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7 Reviews
2 Students
Overview
Basic Calculus is the foundation of mathematical analysis, covering essential concepts such as functions, limits, continuity, and derivatives. This course provides learners with the tools to tackle complex problems using derivative applications and understand the behaviour of functions across different scenarios. With a structured approach from supplements to advanced derivative applications, Basic Calculus equips learners with the confidence to progress in mathematics or related disciplines. Whether for academic or professional growth, mastering Basic Calculus establishes a critical numerical and analytical skill set.
Course Description
Dive into the world of Basic Calculus, where numbers and functions meet logic and reasoning. This course begins with supplements and foundational topics that strengthen mathematical fluency, setting the stage for exploring functions and their transformations. By understanding limits, learners grasp how values behave near specific points, providing a key framework for further study in continuity and derivatives. Every concept builds logically, ensuring progression from theory to application.
Continuity and derivatives form the heart of Basic Calculus, allowing learners to analyse changes in functions and identify patterns. This course emphasises applying derivative techniques to solve real-world problems, including rate calculations and optimisation tasks. Step by step, learners practise constructing functions, calculating limits, and examining how functions behave, which solidifies their competence in calculus fundamentals. Frequent exercises and examples reinforce knowledge, boosting confidence in approaching complex mathematical problems.
By the end of this course, learners are well-versed in the essentials of Basic Calculus, capable of connecting theory with practical applications. It prepares students for higher mathematics, data science, economics, engineering, and more. With a strong grasp of functions, limits, continuity, and derivative applications, learners can confidently analyse and interpret mathematical situations. The skills acquired through this course open pathways for academic advancement and professional opportunities, making Basic Calculus an indispensable step in any analytical career journey.
Learning Outcome
Learning Outcome- Apply limits and continuity principles to evaluate mathematical functions.
- Compute derivatives and understand their application in real-world scenarios.
- Analyse function behaviour using derivative techniques and calculations.
- Solve optimisation problems using derivatives in practical contexts.
- Interpret mathematical data and represent it using functions and derivatives.
Who Is This Course For?
Who Is This Course For?- Students pursuing mathematics, engineering, or physics pathways.
- Professionals seeking analytical or problem-solving skill enhancement.
- Learners preparing for higher-level calculus or applied mathematics.
- Individuals aiming to improve data analysis and mathematical modelling skills.
- Anyone curious about exploring derivatives, functions, and limits systematically.
Certificate of Achievement
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Career Path
Career Path- Data Analyst: Analyse datasets, create models, and interpret trends. Average Salary: £45,000–£60,000/year
- Financial Analyst: Evaluate financial performance, forecast trends, and advise on investments. Average Salary: £50,000–£65,000/year
- Actuarial Analyst: Assess risk using mathematical and statistical methods. Average Salary: £55,000–£70,000/year
- Operations Research Analyst: Optimise business processes using mathematical models. Average Salary: £50,000–£68,000/year
- Quantitative Analyst: Apply calculus and modelling in financial markets. Average Salary: £60,000–£85,000/year
Frequently Asked Questions
 No advanced background is required. A basic understanding of algebra and functions is sufficient to start Basic Calculus.
 The duration varies, but most learners complete the course within 6–8 weeks of part-time study.
Yes, knowledge of Basic Calculus is essential for analytical roles, modelling, and problem-solving in finance and data sectors.
 Yes, the course includes exercises and evaluations to test understanding of limits, derivatives, and functions.
 Absolutely. Basic Calculus provides a strong foundation for higher mathematics, engineering, physics, and economics courses in the UK.
Basic Calculus Reviews
A well-organised and highly valuable course with clear, easy-to-understand guidance throughout. I’ve gained knowledge that’s directly relevant to my day-to-day responsibilities. It’s given me greater confidence in applying these skills professionally.
Engaging content delivered in a straightforward and structured format. The examples were realistic and helped reinforce key concepts effectively. I would certainly recommend it to colleagues looking to upskill
Comprehensive, insightful and professionally presented from start to finish. The course materials were clear and well supported. A worthwhile investment for anyone serious about career development
Curriculum
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1.1 Number Sets
00:10:00
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1.2 Graphing Tools
00:06:00
00:10:00 -
2.1 Introduction
00:01:00
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2.2 Functions
00:15:00
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2.3 Evaluating a Function
00:13:00
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2.4 Domain
00:16:00
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2.5 Range
00:05:00
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2.6 One to One Function
00:09:00
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2.7 Inverse Functions
00:10:00
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2.8 Exponential Functions
00:05:00
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2.9 The Natural Exponential Function
00:06:00
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2.10 Logarithms
00:13:00
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2.11 Natural Logarithms
00:07:00
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2.12 Logarithm Laws
00:06:00
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2.13 Trigonometric Ratios
00:15:00
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2.14 Evaluating Trig Functions and Points
00:18:00
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2.15 Inverse Trigonometric Functions
00:12:00
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3.1 Introduction
00:01:00
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3.2 What is a Limit?
00:17:00
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3.3 Examples
00:15:00
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3.4 One-Sided Limits
00:12:00
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3.5 The Limit Laws
00:08:00
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3.6 Examples
00:15:00
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3.7 More Examples
00:15:00
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3.8 The Squeeze (Sandwich) Theorem
00:09:00
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3.9 Examples
00:10:00
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3.10 Precise Definition of Limits
00:08:00
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3.11 Examples
00:15:00
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3.12 limits at Infinity
00:21:00
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3.13 Examples
00:15:00
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3.14 Asymptotes and Limits at Infinity
00:10:00
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3.15 Infinite Limits
00:12:00
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4.1 Introduction
00:01:00
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4.2 Continuity
00:12:00
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4.3 Types of Discontinuity
00:12:00
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4.4 Examples
00:16:00
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4.5 Properties of Continuous Functions
00:11:00
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4.6 Intermediate Value Theorem for Continuous Functions
00:06:00
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5.1 Introduction
00:01:00
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5.2 Average Rate of Change
00:08:00
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5.3 Instantaneous Rate of Change
00:12:00
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5.4 Derivative Definition
00:14:00
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5.5 Examples
00:10:00
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5.6 Non-Differentiability
00:06:00
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5.7 Constant and Power Rule
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5.8 Constant Multiple Rule
00:07:00
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5.9 Sum and Difference Rule
00:07:00
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5.10 Product Rule
00:14:00
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5.11 Quotient Rule
00:08:00
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5.12 Chain Rule
00:14:00
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5.13 Examples
00:09:00
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5.14 Derivative Symbols
00:04:00
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5.15 Graph of Derivatives
00:10:00
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5.16 Higher Order Derivatives
00:08:00
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5.17 Equation of the Tangent Line
00:07:00
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5.18 Derivative of Trig Functions
00:07:00
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5.19 Examples
00:19:00
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5.20 Derivative of Inverse Trig Functions
00:08:00
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5.21 Examples
00:12:00
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5.22 Implicit Differentiation
00:17:00
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5.23 Derivative of Inverse Functions
00:13:00
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5.24 Derivative of the Natural Exponential Function
00:12:00
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5.25 Derivative of the Natural Logarithm Function
00:07:00
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5.26 Derivative of Exponential Functions
00:06:00
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5.27 Derivative of Logarithmic Functions
00:06:00
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5.28 Logarithmic Differentiation
00:15:00
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6.1 Introduction
00:01:00
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6.2 Related Rates
00:08:00
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6.3 Examples
00:13:00
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6.4 More Example
00:09:00
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6.5 More Example
00:10:00
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6.6 Optimisation
00:16:00
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6.7 Example
00:11:00
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6.8 More Example
00:07:00
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6.9 Extreme Values of Functions
00:12:00
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6.10 Critical Points
00:08:00
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6.11 Examples (First Derivative Test)
00:16:00
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6.12 More Examples
00:18:00
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6.13 Concavity
00:15:00
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6.14 Examples
00:13:00
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6.15 Second Derivative Test
00:08:00
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6.16 Graphing Functions
00:09:00
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6.17 Examples
00:21:00
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6.18 L’ Hôpital’s Rule
00:12:00
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6.19 Other Indeterminate Forms
00:15:00
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6.20 Rolle’s Theorem
00:09:00
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6.21 The Mean Value Theorem
00:19:00
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6.22Application of the Mean Value Theorem
00:04:00
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Resource – Fundamentals of Calculus
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Duration:15 hours, 23 minutes
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Access:1 Year
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Units:89
