update typo

pages/Math4121/Math4121_L1.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 1
+# Math4121 Lecture 1
 
 ## Chapter 5: Differentiation
 

pages/Math4121/Math4121_L10.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 10
+# Math4121 Lecture 10
 
 ## Recap
 

pages/Math4121/Math4121_L12.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 12
+# Math4121 Lecture 12
 
 ## Chapter 7: Uniform Convergence and Integrals
 

pages/Math4121/Math4121_L13.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 13
+# Math4121 Lecture 13
 
 ## Hidden Chapter 1
 

pages/Math4121/Math4121_L14.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 14
+# Math4121 Lecture 14
 
 ## Recap
 

pages/Math4121/Math4121_L15.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 15
+# Math4121 Lecture 15
 
 ## Continue on patches for Riemann integral
 

pages/Math4121/Math4121_L16.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 16
+# Math4121 Lecture 16
 
 ## Continue on Patches for Riemann Integrals
 

pages/Math4121/Math4121_L17.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 17
+# Math4121 Lecture 17
 
 ## Continue on Last lecture
 

pages/Math4121/Math4121_L18.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 18
+# Math4121 Lecture 18
 
 ## Continue
 

pages/Math4121/Math4121_L19.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 19
+# Math4121 Lecture 19
 
 ## Continue on the "small set"
 

pages/Math4121/Math4121_L2.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 2
+# Math4121 Lecture 2
 
 ## Chapter 5: Differentiation
 

pages/Math4121/Math4121_L20.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 20
+# Math4121 Lecture 20
 
 ## Continue on Chapter 4
 

pages/Math4121/Math4121_L3.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 3
+# Math4121 Lecture 3
 
 ## Continue on Differentiation
 

pages/Math4121/Math4121_L4.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 4
+# Math4121 Lecture 4
 
 ## Chapter 5. Differentiation
 

pages/Math4121/Math4121_L5.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 5
+# Math4121 Lecture 5
 
 ## Continue on differentiation
 

pages/Math4121/Math4121_L6.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 6
+# Math4121 Lecture 6
 
 ## Chapter 6: Riemann-Stieltjes Integral
 

pages/Math4121/Math4121_L7.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 7
+# Math4121 Lecture 7
 
 ## Continue on Chapter 6
 

pages/Math4121/Math4121_L8.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 8
+# Math4121 Lecture 8
 
 ## Continue on Riemann-Stieltjes Integral
 

pages/Math4121/Math4121_L9.md

@@ -1,4 +1,4 @@
-# Math 4121 Lecture 9
+# Math4121 Lecture 9
 
 Exam next week.
 

pages/Math4121/index.md

@@ -1,4 +1,4 @@
-# Math 4121
+# Math4121
 
 Riemann integration; measurable functions; Measures; the Lebesgue integral; integrable functions; $L^p$ spaces.
 

pages/Math416/Exam_reviews/Math416_E1.md

@@ -0,0 +1,3 @@
+# Math 416 Midterm 1 Review
+
+

pages/Math416/Math416_L12.md

@@ -61,7 +61,7 @@ $$
 \end{aligned}
 $$
 
-Use the fact that $f$ is holomorphic on $U$, then $f$ is continuous on $U$, so $\lim_{z\toz_1}f(z)=f(z_1)$.
+Use the fact that $f$ is holomorphic on $U$, then $f$ is continuous on $U$, so $\lim_{z\to z_1}f(z)=f(z_1)$.
 
 There exists a $\delta>0$ such that $|z-z_1|<\delta$ implies $|f(z)-f(z_1)|<\epsilon$.
 
@@ -71,7 +71,7 @@ $$
 |I|\leq\frac{1}{z_1-z_0}\int_{z}^{z_1}|f(\xi)-f(z_1)|d\xi<\frac{\epsilon}{z_1-z_0}\int_{z}^{z_1}d\xi=\epsilon
 $$
 
-So $I\to 0$ as $z_1\toz$.
+So $I\to 0$ as $z_1\to z$.
 
 Therefore, $g'(z_1)=f(z_1)$ for all $z_1\in U$.
 

pages/Math416/_meta.js

@@ -3,6 +3,7 @@ export default {
     "---": {
         type: 'separator'
     },
+    Exam_reviews: "Exam reviews",
     Math416_L1: "Complex Variables (Lecture 1)",
     Math416_L2: "Complex Variables (Lecture 2)",
     Math416_L3: "Complex Variables (Lecture 3)",